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Computational group theory

In mathematics, computational group theory is the study ofgroups by means of computers. It is concernedwith designing and analysing algorithms… 
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AlgorithmBlack box groupCharles Sims (mathematician)Computational mathematics

Papers overview

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2017
2017
On commuting involution graphs of certain finite groups
5 Copyright Statement 7 
2010
2010
Algorithms for solving linear systems over cyclotomic fields
2007
2007
Heuristic Symmetry Reduction for Invariant Verification
We describe techniques that use symmetry to perform efficient invariant checking. We start by developing the theory needed to… 
2005
2005
Small Base Groups , Large Base Groups and the Case of Giants
Let G be a finite permutation group acting on a set Γ. A base for G is a finite sequence of elements of Γ whose pointwise… 
2003
2003
On Leaf Permutative Theories and Occurrence Permutation Groups
2001
2001
Group-theoretic Approach for Symbolic Tensor Manipulation: II. Dummy Indices
Computational Group Theory is applied to indexed objects (tensors, spinors, and so on) with dummy indices. There are two groups… 
1997
1997
Computing Maximal Subgroups and Wyckoff Positions of Space Groups
This paper describes algorithms for the computation of conjugacy classes of maximal subgroups and the Wyckoff positions of a… 
1995
1995
GAP/MPI: Facilitating parallelism
The goal of this work is to overcome the learning barriers faced when first using parallelism. Currently, in order to parallelize… 
1993
1993
Application of substring searching methods to group presentations
An important way for describing groups is by flnite presentations. Large presentations arise in practice which are poorly suited… 
1989
1989
An infinite Family of 4‐Arc‐Transitive Cubic Graphs Each with Girth 12
A l'aide de la theorie elementaire des graphes symetriques, on etudie une famille infinie de graphes cubiques 4-arc-transitifs de… 
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