Palindromic words in simple groups

DOI10.1142/S0218196715500046zbMath1321.20028arXiv1408.1821WikidataQ61677649 ScholiaQ61677649MaRDI QIDQ5252306

Elisabeth Fink, Andreas Thom

Publication date: 29 May 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.1821

zbMATH Keywords

finitely generated groupssimple groupsfinite generating setspalindromescommutator widthspalindromic widthsjust-infinite groups

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Asymptotic properties of groups (20F69) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Algebraic geometry over groups; equations over groups (20F70)

Related Items (5)

Palindromic widths of nilpotent and wreath products ⋮ Palindromic width of graph of groups ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ Geometry of word equations in simple algebraic groups over special fields ⋮ Palindromes in finite groups and the Explorer-Director game

Cites Work

• Palindromic width of wreath products, metabelian groups, and max-n solvable groups.
• The Ore conjecture.
• On the palindromic and primitive widths of a free group.
• Palindromic width of free nilpotent groups.
• On palindromic width of certain extensions and quotients of free nilpotent groups
• FINITELY GENERATED INFINITE SIMPLE GROUPS OF INFINITE COMMUTATOR WIDTH
• On the lattice of normal subgroups in ultraproducts of compact simple groups
• Diameters of finite simple groups: sharp bounds and applications

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