DIAGRAMS WITH SELECTION AND METHOD FOR CONSTRUCTING BOUNDEDLY GENERATED AND BOUNDEDLY SIMPLE GROUPS

DOI10.1081/AGB-200053951zbMath1142.20013arXivmath/0404472MaRDI QIDQ4681041

Alexey Muranov

Publication date: 14 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404472

zbMATH Keywords

presentationsbounded generationinfinite simple groupssmall cancellation conditionsvan Kampen diagramsboundedly generated groupsboundedly simple groupsdiagrams with selection

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Cancellation theory of groups; application of van Kampen diagrams (20F06)

Related Items (9)

List of problems on discrete subgroups of Lie groups and their computational aspects ⋮ FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH ⋮ Bounded generation of \(S\)-arithmetic subgroups of isotropic orthogonal groups over number fields. ⋮ On representations of direct products and the bounded generation property of branch groups ⋮ FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE SQUARE WIDTH AND VANISHING STABLE COMMUTATOR LENGTH ⋮ Finitely generated groups with polynomial index growth ⋮ Ranks of subgroups in boundedly generated groups ⋮ Generating Adjoint Groups ⋮ On torsion-free groups with finite regular file bases

Cites Work

• Bounded Elementary Generation of SL n (O)
• On Representatives of Subsets
• Unnamed Item

This page was built for publication: DIAGRAMS WITH SELECTION AND METHOD FOR CONSTRUCTING BOUNDEDLY GENERATED AND BOUNDEDLY SIMPLE GROUPS