Applications and adaptations of the low index subgroups procedure

DOI10.1090/S0025-5718-04-01647-3zbMath1064.20035OpenAlexW2067678262MaRDI QIDQ4821059

Peter Dobcsányi, Marston D. E. Conder

Publication date: 7 October 2004

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-04-01647-3

zbMATH Keywords

algorithmsnormal subgroupssubgroups of finite indexfinitely presented groupstransitive permutation representationslow-index subgroupscomplements of subgroups

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (6)

Algorithms for finitely \(L\)-presented groups and their applications to some self-similar groups. ⋮ Small volume 3-manifolds constructible from string Coxeter groups of rank 4 ⋮ On tetravalent half-arc-transitive graphs of girth 5 ⋮ Finite group actions on bordered surfaces of small genus ⋮ A list of 4-valent 2-arc-transitive graphs and finite faithful amalgams of index (4, 2) ⋮ Orientable hyperbolic 4-manifolds over the 120-cell

Uses Software

• Magma

Cites Work

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• Asymmetric combinatorially-regular maps
• Automorphism groups of symmetric graphs of valency 3
• Determination of all regular maps of small genus
• Regular maps on non-orientable surfaces
• Determining Subgroups of a Given Finite Index in a Finitely Presented Group
• The Symmetric Genus of the Mathieu Groups
• A Cohomological Criterion for a Finitely Presented Group to be Infinite
• Implementation and Analysis of the Todd-Coxeter Algorithm
• BOUNDS FOR THE NUMBER OF AUTOMORPHISMS OF A COMPACT NON-ORIENTABLE SURFACE
• Images of hyperbolic reflection groups

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