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252:, Germany from 1986 to 1997. After the retirement of Joachim NeubĂĽser from the chair of LDFM, the development and maintenance of GAP was coordinated by the School of Mathematical and Computational Sciences at the
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The user contributed packages are an important feature of the system, adding a great deal of functionality. GAP offers package authors the opportunity to submit these packages for a process of
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and a large collection of functions to create and manipulate various mathematical objects. It supports integers and rational numbers of arbitrary size, memory permitting.
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by specifying generators and relations. Several databases of important finite groups are included. GAP also allows to work with
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systems. The standard distribution requires about 300 MB (about 400 MB if all the packages are loaded).
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GAP and its sources, including packages (sets of user contributed programs), data library (including a
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computer algebra system from within GAP. GAP is also included in the mathematical software system
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470:# Generators for the image of G under i - written as products of disjoint cyclic permutations.
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512:(1,5,3,7,2,6,4,8), (1,6,3,8,2,5,4,7), (1,7,4,5,2,8,3,6), (1,8,4,6,2,7,3,5) ]
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This article is about a software package. For other uses, see
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440:# Find an isomorphism from G to a group of permutations.
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GAP was developed at
Lehrstuhl D fĂĽr Mathematik (LDFM),
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410:# Set G to be a group of order 8.
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506:# All the elements of im G.
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839:symbolic math toolbox)
294:groups of permutations
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586:Official GAP website
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328:Distribution
322:Lie algebras
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270:Fort Collins
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828:Mathematica
795:Proprietary
692:Open-source
357:peer review
276:was added.
227:open source
223:Programming
200:.gap-system
130:/gap-system
54:RWTH Aachen
951:Categories
894:Mathomatic
644:Gap-system
546:References
389:SmallGroup
219:Algorithms
147:Written in
117:Repository
780:Xcas/Giac
740:Macaulay2
350:Macintosh
348:, and on
304:and with
923:Category
884:LiveMath
770:Singular
765:SageMath
750:Normaliz
616:18 April
518:See also
479:Elements
476:gap>
446:gap>
416:gap>
380:gap>
368:SageMath
364:SINGULAR
338:copyleft
302:matrices
280:Features
258:Scotland
225:) is an
889:Macsyma
823:Mathcad
755:PARI/GP
705:Cadabra
566:13 June
473:Group()
346:Windows
318:modules
244:History
193:Website
182:License
101: (
904:ALTRAN
899:muMATH
879:Erable
874:Derive
837:MATLAB
760:Reduce
745:Maxima
720:FriCAS
715:Fermat
648:GitHub
264:, and
215:Groups
126:github
869:CAMAL
833:muPAD
818:Maple
813:Magma
785:Yacas
775:SymPy
735:GiNaC
710:CoCoA
700:Axiom
485:Image
449:Image
314:Rings
935:List
808:KANT
725:FORM
618:2020
593:2019
568:2024
342:Unix
320:and
221:and
202:.org
170:Type
132:/gap
128:.com
81:1988
730:GAP
646:on
312:).
268:at
211:GAP
198:www
26:GAP
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