Palindromic Width of Finitely Generated Solvable Groups

DOI10.1080/00927872.2014.952738zbMath1344.20044arXiv1402.6115OpenAlexW1794692157MaRDI QIDQ3448544

Krishnendu Gongopadhyay, Valeriy G. Bardakov

Publication date: 26 October 2015

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

Full work available at URL: https://arxiv.org/abs/1402.6115

zbMATH Keywords

commutatorsmetabelian groupsfinitely generated solvable groupscommutator widthspalindromic widthsproducts of palindromes

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (2)

Palindromic widths of nilpotent and wreath products ⋮ Palindromic width of graph of groups

Cites Work

• Palindromic width of wreath products, metabelian groups, and max-n solvable groups.
• Enumerating palindromes and primitives in rank two free groups.
• Palindromic primitives and palindromic bases in the free group of rank two.
• Palindromic braids.
• Geometry for palindromic automorphism groups of free groups
• On the palindromic and primitive widths of a free group.
• A note on the automorphism group of the rank two free group
• Palindromic width of free nilpotent groups.
• A palindromization map for the free group
• On palindromic width of certain extensions and quotients of free nilpotent groups
• The palindromic width of a free product of groups
• PALINDROMES AND ORDERINGS IN ARTIN GROUPS
• Discreteness criteria and the hyperbolic geometry of palindromes
• COMMUTATOR LENGTH OF SOLVABLE GROUPS SATISFYING MAX-N
• Commutator length of abelian-by-nilpotent groups
• Commutators of Certain Finitely Generated Soluble Groups

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