About: Computational group theory

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In mathematics, computational group theory is the study ofgroups by means of computers. It is concernedwith designing and analysing algorithms anddata structures to compute information about groups. The subjecthas attracted interest because for many interesting groups(including most of the sporadic groups) it is impracticalto perform calculations by hand. Important algorithms in computational group theory include: Some achievements of the field include: * complete enumeration of all finite groups of order less than 2000 * computation of representations for all the sporadic groups

Attributes	Values
rdfs:label	Computational group theory (en)
rdfs:comment	In mathematics, computational group theory is the study ofgroups by means of computers. It is concernedwith designing and analysing algorithms anddata structures to compute information about groups. The subjecthas attracted interest because for many interesting groups(including most of the sporadic groups) it is impracticalto perform calculations by hand. Important algorithms in computational group theory include: Some achievements of the field include: * complete enumeration of all finite groups of order less than 2000 * computation of representations for all the sporadic groups (en)
sameAs	Computational group theory Computational group theory
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:No_footnotes
Subject	Computational fields of study Computational group theory
Link from a Wikipage to an external page	https://web.archive.org/web/20070208012642/http:/www.math.ohio-state.edu/~akos/notices.ps http://www.math.rutgers.edu/~sims/publications/survey.pdf http://www.math.rwth-aachen.de/~Joachim.Neubueser/preprint.html
prov:wasDerivedFrom	http://en.wikipedia.org/wiki/Computational_group_theory?oldid=991317718&ns=0
Wikipage page ID	618584 (xsd:integer)
page length (characters) of wiki page	2671 (xsd:nonNegativeInteger)
Wikipage revision ID	991317718 (xsd:integer)
Link from a Wikipage to another Wikipage	Group (mathematics) Magma (computer algebra system) Algorithm Black box group Cambridge University Press Computational fields of study Computational group theory Ohio State University Character theory Charles Sims (mathematician) List of small groups Sporadic group Todd–Coxeter algorithm Schreier–Sims algorithm Computer algebra system Coset enumeration Notices of the American Mathematical Society Order (group theory) Data structure GAP (computer algebra system) Permutation group Rutgers University Group representation Knuth–Bendix completion algorithm Mathematics RWTH Aachen University dbr:Product-replacement_algorithm
has abstract	In mathematics, computational group theory is the study ofgroups by means of computers. It is concernedwith designing and analysing algorithms anddata structures to compute information about groups. The subjecthas attracted interest because for many interesting groups(including most of the sporadic groups) it is impracticalto perform calculations by hand. Important algorithms in computational group theory include: * the Schreier–Sims algorithm for finding the order of a permutation group * the Todd–Coxeter algorithm and Knuth–Bendix algorithm for coset enumeration * the for finding random elements of a group Two important computer algebra systems (CAS) used for group theory areGAP and Magma. Historically, other systems such as CAS (for character theory) and Cayley (a predecessor of Magma) were important. Some achievements of the field include: * complete enumeration of all finite groups of order less than 2000 * computation of representations for all the sporadic groups (en)
foaf:isPrimaryTopicOf	http://en.wikipedia.org/wiki/Computational_group_theory
is Link from a Wikipage to another Wikipage of	Group (mathematics) Abelian group Ali Reza Ashrafi Base (group theory) Black box group Monte Carlo algorithm Geometric group theory Gilbert Baumslag Glossary of areas of mathematics Discrete group History of group theory Charles Leedham-Green Charles Sims (mathematician) Chemical graph generator Cycle detection List of open-source software for mathematics Computational mathematics Coset enumeration Eamonn O'Brien (mathematician) GAP (computer algebra system) International Symposium on Symbolic and Algebraic Computation Knuth–Bendix completion algorithm Nielsen transformation
is known for of	Charles Leedham-Green Eamonn O'Brien (mathematician)
is foaf:primaryTopic of	http://en.wikipedia.org/wiki/Computational_group_theory

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