gap-pkg-sonata-2.8-1.fc22$>*43..J̣!'>@?d  A\`   0  H  `    U  V( ZX _ dd i$i@ id j (j?8jH9jT:j>kX@kvBkGk Ho It Xu YuZu,[u0\u< ]yl ^bdeflt u vVw8 xh Cgap-pkg-sonata2.81.fc22GAP package for systems of nearringsSONATA stands for "systems of nearrings and their applications". It provides methods for the construction and the analysis of finite nearrings. A left nearring is an algebra (N;+,*), where (N,+) is a (not necessarily abelian) group, (N,*) is a semigroup, and x*(y+z) = x*y + x*z holds for all x,y,z in N. As a typical example of a nearring, we may consider the set of all mappings from a group G into G, where the addition is the pointwise addition of mappings in G, and the multiplication is composition of functions. If functions are written on the right of their arguments, then the left distributive law holds, while the right distributive law is not satisfied for non-trivial G. The SONATA package provides methods for the construction and analysis of finite nearrings. 1. Methods for constructing all endomorphisms and all fixed-point-free automorphisms of a given group. 2. Methods for constructing the following nearrings of functions on a group G: - the nearring of polynomial functions of G (in the sense of Lausch-Nöbauer); - the nearring of compatible functions of G; - distributively generated nearrings such as I(G), A(G), E(G); - centralizer nearrings. 3. A library of all small nearrings (up to order 15) and all small nearrings with identity (up to order 31). 4. Functions to obtain solvable fixed-point-free automorphism groups on abelian groups, nearfields, planar nearrings, as well as designs from those. 5. Various functions to study the structure (size, ideals, N-groups, ...) of nearrings, to determine properties of nearring elements, and to decide whether two nearrings are isomorphic. 6. If the package XGAP is installed, the lattices of one- and two-sided ideals of a nearring can be studied interactively using a graphical representation.V"Gbuildhw-03.phx2.fedoraproject.org+/4Fedora ProjectFedora ProjectGPLv2+Fedora ProjectUnspecifiedhttp://www.algebra.uni-linz.ac.at/Sonata/linuxnoarchK .n 3@:z 8O+K@4&L#)2-0U8$B"2l49sn"(Fr@ ls-  tuYFAAA|!P0HEZA 6>V5*:' E | fM;u`Jk&XvN(O&EkyjB( ie  W$|y>5D:E7 )|XKIC 4;TQ$eVw"]?  AV,^jMjjlhmpylnX*e @18;] DG%u * x jDkG=`zx 0%c lz0 zxcg5 +yCR,M 2 A *,'!sFA큤A큤A큤A큤A큤AA큤A큤A큤A큤A큤A큤A큤A큤V"+V ?V"+NmV")8`CPa?A?CV?AI%,Mg?A>>MpNˈI'I'NˈI'PmI%xpNˈNˈI%/FQ>6NPqI%+?AV")8`C}>?BQI%1??BQ?BQ?BQI%xI%xN˖I%xI%xN˖8`Pm>sN˖N˖?BQ?BQI%1>_I%1?BQ?BQPjoV")8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`8`V AV APmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmPmV APn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn Pn ?:V")?U&|8`? 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sonataPackageInfo.gdocgapmacro.texrefanswers.texauthors.texcopyrigh.texdesign.texfpf.texgenlatt.texgrpsupp.texideals.texlibnr.texmanual.auxmanual.bblmanual.blgmanual.idxmanual.ilgmanual.indmanual.labmanual.mstmanual.pdfmanual.sixmanual.texmanual.tocnfplwd.texngroups.texnr.texpreface.texsonata.bibtfmnr.textfms.texxsonata.textutanswers.texauthors.texcopyrigh.texdesign.texgrpsupp.texideals.texlibnr.texmanual.auxmanual.bblmanual.blgmanual.idxmanual.ilgmanual.indmanual.labmanual.mstmanual.pdfmanual.sixmanual.texmanual.tocngroups.texnr.texplnr.texpreface.textfmnr.textfms.texwdnr.texgpl-2.0.txtgrpg10.defg12.defg14.defg15.defg16.defg18.defg20.defg21.defg22.defg24.defg25.defg26.defg27.defg28.defg30.defg32.defg4.defg6.defg8.defg9.defgprime.defgrplist.defhtmrefCHAP001.htmCHAP002.htmCHAP003.htmCHAP004.htmCHAP005.htmCHAP006.htmCHAP007.htmCHAP008.htmCHAP009.htmCHAP010.htmCHAP011.htmbiblio.htmchapters.htmindxA.htmindxB.htmindxC.htmindxD.htmindxE.htmindxF.htmindxG.htmindxI.htmindxL.htmindxM.htmindxN.htmindxO.htmindxP.htmindxQ.htmindxR.htmindxS.htmindxT.htmindxW.htmindxZ.htmtheindex.htmtutCHAP001.htmCHAP002.htmCHAP003.htmCHAP004.htmCHAP005.htmCHAP006.htmCHAP007.htmCHAP008.htmbiblio.htmchapters.htmindxA.htmindxC.htmindxD.htmindxE.htmindxF.htmindxG.htmindxI.htmindxM.htmindxN.htmindxP.htmindxS.htmindxT.htmtheindex.htminit.glibcompatible.gdcompatible.gidesign.gddesign.gidgnr.gddgnr.giexpmulnr.gdexpmulnr.gifpf.gdfpf.gigenlatt.gdgenlatt.gigrpend.gdgrpend.gigrpsupp.gdgrpsupp.gigrptfms.gdgrptfms.giidlatt.gdidlatt.gilibnr.gdlibnr.ginfplwd.gdnfplwd.gingroups.gdngroups.ginr.gdnr.ginrconstr.gdnrconstr.ginrid.gdnrid.girandom.gdrandom.gireadgrps.gring.gixgap.gdxgap.ginrnr10_1.nr.gznr10_2.nr.gznr11_1.nr.gznr12_1.nr.gznr12_2.nr.gznr12_3.1.nr.gznr12_3.2.nr.gznr12_3.3.nr.gznr12_3.4.nr.gznr12_3.5.nr.gznr12_3.6.nr.gznr12_3.7.nr.gznr12_3.8.nr.gznr12_3.9.nr.gznr12_3.nr.gznr12_4.nr.gznr12_5.nr.gznr13_1.nr.gznr14_1.nr.gznr14_2.nr.gznr15_1.nr.gznr8_1.nr.gznr8_2.nr.gznr8_3.nr.gznr8_4.nr.gznr8_5.nr.gznr9_1.nr.gznr9_2.nr.gznr_2-7.nr.gznrinri12_3.nr.gznri16_1.nr.gznri16_10.nr.gznri16_11.nr.gznri16_2.nr.gznri16_3.nr.gznri16_4.nr.gznri16_5.nr.gznri16_6.nr.gznri16_7.nr.gznri16_9.nr.gznri17_1.nr.gznri18_1.nr.gznri18_2.nr.gznri18_3.nr.gznri19_1.nr.gznri20_1.nr.gznri20_2.nr.gznri20_3.nr.gznri21_1.nr.gznri22_1.nr.gznri23_1.nr.gznri24_1.nr.gznri24_2.nr.gznri24_3.nr.gznri24_4.nr.gznri24_5.nr.gznri24_7.nr.gznri24_9.nr.gznri25_1.nr.gznri25_2.nr.gznri26_1.nr.gznri27_1.nr.gznri27_2.nr.gznri27_3.nr.gznri27_4.nr.gznri27_5.nr.gznri28_1.nr.gznri28_2.nr.gznri28_3.nr.gznri29_1.nr.gznri30_1.nr.gznri31_1.nr.gzread.gtstfpf.tstideals.tstnr.tsttfms.tstgap-pkg-sonataREADME.sonatagap-pkg-sonatagpl-2.0.txt/usr/lib/gap/pkg//usr/lib/gap/pkg/sonata//usr/lib/gap/pkg/sonata/doc//usr/lib/gap/pkg/sonata/doc/ref//usr/lib/gap/pkg/sonata/doc/tut//usr/lib/gap/pkg/sonata/grp//usr/lib/gap/pkg/sonata/htm//usr/lib/gap/pkg/sonata/htm/ref//usr/lib/gap/pkg/sonata/htm/tut//usr/lib/gap/pkg/sonata/lib//usr/lib/gap/pkg/sonata/nr//usr/lib/gap/pkg/sonata/nri//usr/lib/gap/pkg/sonata/tst//usr/share/doc//usr/share/doc/gap-pkg-sonata//usr/share/licenses//usr/share/licenses/gap-pkg-sonata/-O2 -g -pipe -Wall -Werror=format-security -Wp,-D_FORTIFY_SOURCE=2 -fexceptions -fstack-protector-strong --param=ssp-buffer-size=4 -grecord-gcc-switches -m64 -mtune=genericdrpmxz2noarch-redhat-linux-gnu       !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUdirectoryUTF-8 Unicode textTeX document, UTF-8 Unicode textemptyLaTeX document, ASCII textASCII textLaTeX raw index file, ASCII textMakeindex log file, ASCII textFORTRAN program, ASCII textTeX document, ASCII textBibTeX text file, ASCII textASCII text, with CRLF line terminatorsHTML document, ASCII textASCII text (gzip compressed data, was "nr10_1.nr", last modified: Mon Feb 21 15:59:03 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr10_2.nr", last modified: Mon Feb 21 15:59:03 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr11_1.nr", last modified: Mon Feb 21 15:59:03 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_1.nr", last modified: Mon Feb 21 15:59:03 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_2.nr", last modified: Mon Feb 21 15:59:03 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.1.nr", last modified: Mon Aug 27 13:45:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.2.nr", last modified: Mon Aug 27 13:45:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.3.nr", last modified: Mon Aug 27 13:45:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.4.nr", last modified: Mon Aug 27 13:45:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.5.nr", last modified: Mon Aug 27 13:45:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.6.nr", last modified: Mon Aug 27 13:45:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.7.nr", last modified: Mon Aug 27 13:45:12 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.8.nr", last modified: Mon Aug 27 13:45:12 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_3.9.nr", last modified: Mon Aug 27 13:45:12 2001, max compression, from Unix)empty (gzip compressed data, was "nr12_3.nr", last modified: Mon Sep 18 17:26:56 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_4.nr", last modified: Mon Feb 21 15:59:04 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr12_5.nr", last modified: Mon Feb 21 15:59:04 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr13_1.nr", last modified: Mon Feb 21 15:59:04 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr14_1.nr", last modified: Mon Feb 21 15:59:04 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr14_2.nr", last modified: Mon Feb 21 15:59:04 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr15_1.nr", last modified: Mon Feb 21 15:59:04 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr8_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr8_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr8_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr8_4.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr8_5.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr9_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr9_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nr_2-7.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri12_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_10.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_11.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_4.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_5.nr", last modified: Mon Aug 27 16:28:11 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_6.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_7.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri16_9.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri17_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri18_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri18_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri18_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri19_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri20_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri20_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri20_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri21_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri22_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri23_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_4.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_5.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_7.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri24_9.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri25_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri25_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri26_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri27_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri27_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri27_3.nr", last modified: Mon Aug 27 16:28:12 2001, max compression, from Unix)ASCII text (gzip compressed data, was "nri27_4.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri27_5.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri28_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri28_2.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri28_3.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri29_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri30_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)ASCII text (gzip compressed data, was "nri31_1.nr", last modified: Mon Feb 21 15:59:05 2000, max compression, from Unix)xgap?7zXZ !#,]"k%rPZveVy?W#!EN~|"fxxR{yum[oy&Gjxb.5.@eGqøk(Rq[Ս#"Yu,Gwv u@B;dh#)$P+ܴi9ڪej )*~8ڸ&ǫI@~^]߅+T :7ͧ(+FDM_qcJv|y+9@V9 OWc%UIp`zd[%GJk|#y\$GbTD] S}uagp75z+ib 2R. ~#iP*)N:۸a-ܮE=CB \y^:61u/u?_?"zeozVnВ{>8Lr؍ㅥqWeyڧOrojd|7afn3tG~t3ӫAL6AAE6z׿[_XtЙ+ßB/^xD{ܹxLO,TVվlڴ t (6V3j5́ u*Ge@O,y ,~`iYG+\j0*94oYK(m;t~*o'lw-FrHv96-ڃx=BҼ({V5hc^|@=xXQs˽0KOR{SG]0c$~FV :fov"}FAHBp|, qZoƔYu8-?K Z۝Q,/Yo+5-G&ԴR%¹혭7$5U~s$oXW'i^˄;-XLXuO{zHZkl?/D.L& 'JG5kΒ|  G?/j4br45Yhx_. 0A|1&A/K(('8&k'p9\9ID0aNJbï~fdQZK1 أHejȒ,9pngo$H*_-" k9t=j _de<"h\ђ/ŚCC4}9M;l㯰5ƒϗܫ1 h0%\HW;:9tݘ>op\/iV,f 򼼋A=ImOZ 77q7z"B@g*Sb0Zw ElkfP>)c74%r U惋&3 ~G3=m%[a,p) 0ُC>p񒂭cJ[YG;8sJU2 RZUǫ밤wg+(W M'5TJa:B#N/e Y=ӡ05Q[%-Ƅ3]/91=JY>XK@d&a=U(&nU$u`yN, ъ5Q^uqS*:gN~K.;nsȇV8z9+.;~<=E%c (V6LxS+^zY(Ppf1غ:93Y54j<&?iؐ TKt~lIR0"V2-ɰ.ald?.$Y'&8:Bfz(y (S3Sa{GspVz:YjD@C:jɏGt9]dH5/ƚr Ru{ |?K_ge 7F$$$paEcbk2)^I೾@b9'ŒKFlS^ \;/Slj4t߶|ЅfNCoI…h̺?)BKbXfKG~.;0ߏ9(yax q3 ;lnۉ =6jY,9ۖޗً9٤[m|}3mPd/{%ǿ9z7p*6F_r:_5Ғį buj!=ѭ&\:%0䃹vUCowr*0#m%|瘸VVo_LC܌s .1V"؋AH]6'Yل:ǀ2ɑVԏ*9qSJ4 ɮ7Xe6×5 FgT2WfT+O'?ic_-b2BQu Nv&n$گ&+s\Ì_Bx`931y=ќOr;]d`sŘpgaU:88kp*Ž<pPx #Bf聿FSpa8+&JJ/N?GG YZ