Bounded generation does not imply finite presentation

DOI10.1080/00927879708825944zbMath0876.20020OpenAlexW2046027646MaRDI QIDQ4342929

Balasubramanian Sury

Publication date: 4 August 1997

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

Full work available at URL: https://doi.org/10.1080/00927879708825944

zbMATH Keywords

soluble groupsfinitely generated groupsfinite presentationsboundedly generated groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (9)

THE CANCELLATION NORM AND THE GEOMETRY OF BI-INVARIANT WORD METRICS ⋮ On palindromic width of certain extensions and quotients of free nilpotent groups ⋮ \(n\)-dimensional linear representations of \(\Aut F_ n\), and more ⋮ POLYNOMIAL INDEX GROWTH GROUPS ⋮ The congruence subgroup problem for branch groups. ⋮ Finitely generated groups with polynomial index growth ⋮ Ranks of subgroups in boundedly generated groups ⋮ Generating Adjoint Groups ⋮ Rank-1 phenomena for mapping class groups

Cites Work

• Finite presentability of S-arithmetic groups. Compact presentability of solvable groups
• The automorphism group of a free group is not linear
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bounded generation does not imply finite presentation