Use of computers in solving well-known algebra problems

Generators, relations, and presentations of groups (20F05) Finite nilpotent groups, (p)-groups (20D15) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (1)

Finite groups

Uses Software

Cayley

Cites Work

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Unsolvability of the universal theory of finite groups
A characterization of the simple group L(3,5)
Thompson's problem (\(\sigma^2=3\)) With two appendices. I: The numerical verification of Thompson's identity by Andrew Odlyzko: II: A check of the Ree group conjecture for small fields by David Hunt
Free lattices in some small varieties
The maximal subgroups of the sporadic simple group of Held
Construction of the Rudvalis group of order 145,926,144,000
The simple group of order 604,800
Simple groups of order less than one million
On integral groups. I: The reducible case. II: The irreducible case
On 3-groups of second maximal class
The non-abelian simple groups g, |g| < 10⁶— character tables
The non-abelian simple groups g, |g| < 10⁵— presentations
On maximal finite irreducible subgroups of 𝐺𝐿(𝑛,𝑍). V. The eight-dimensional case and a complete description of dimensions less than ten
DECIDABILITY PROBLEMS OF EXTENDED THEORIES
On an Algorithm for Finding a Base and a Strong Generating Set for a Group Given by Generating Permutations
The Determination of all Imaginary, Quartic, Abelian Number Fields With Class Number 1
Implementation and Analysis of the Todd-Coxeter Algorithm
On maximal finite irreducible subgroups of 𝐺𝐿(𝑛,𝐙). I: The five and seven dimensional case. II: The six dimensional case
A computer aided classification of certain groups of prime power order
Über einfache endliche gruppen mit sylow-2-gruppen der ordnung höchstens 2¹⁰
The existence and uniqueness of a simple group generated by {3,4} - transpositions
Groups of exponent eight
A computer application to finite p-groups
The two generator restricted Burnside group of exponent five
Defining relations for the Held-Higman-Thompson simple group
On Janko's Simple Group of Order 50,232,960
Computation of Isomorphism Classes of p-Groups
Computer results on Burnside groups
The groups of order 128

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