GENERATING GROUPS BY CONJUGATION-INVARIANT SETS

DOI10.1142/S0219498812500715zbMath1257.20036arXiv1105.5844OpenAlexW2142998029MaRDI QIDQ2909801

Vladimir Tolstykh, Vladimir V. Vershinin, Valeriy G. Bardakov

Publication date: 6 September 2012

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.5844

zbMATH Keywords

length functionsThompson groupsBergman propertywidths of groupsconjugation-invariant generating sets

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05)

Related Items (3)

Strong uncountable cofinality for unitary groups of von Neumann algebras ⋮ Uniform simplicity of groups with proximal action ⋮ Conjugation diameter of the symmetric groups

Cites Work

• On the palindromic and primitive widths of a free group.
• On algebraically closed groups
• ON BI-INVARIANT WORD METRICS
• Interprétation de l'arithmétique dans certains groupes de permutations affines par morceaux d'un intervalle
• The palindromic width of a free product of groups
• Turbulence, amalgamation, and generic automorphisms of homogeneous structures
• Conjugation-invariant norms on groups of geometric origin
• UNCOUNTABLE COFINALITIES OF PERMUTATION GROUPS
• GENERATING INFINITE SYMMETRIC GROUPS
• ON THE BERGMAN PROPERTY FOR THE AUTOMORPHISM GROUPS OF RELATIVELY FREE GROUPS
• Strongly Bounded Groups and Infinite Powers of Finite Groups

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