On palindromic width of certain extensions and quotients of free nilpotent groups

DOI10.1142/S0218196714500246zbMath1354.20021arXiv1402.5314MaRDI QIDQ2923335

Krishnendu Gongopadhyay, Valeriy G. Bardakov

Publication date: 15 October 2014

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

Full work available at URL: https://arxiv.org/abs/1402.5314

zbMATH Keywords

free nilpotent groupspalindromic width

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Free nonabelian groups (20E05)

Related Items (7)

Palindromic widths of nilpotent and wreath products ⋮ Palindromic Width of Finitely Generated Solvable Groups ⋮ Palindromic automorphisms of free nilpotent groups ⋮ Palindromic width of wreath products ⋮ Palindromic width of graph of groups ⋮ Conjugacy growth and width of certain branch groups ⋮ Palindromic words in simple groups

Cites Work

• 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
• Bounded Elementary Generation of SL n (O)
• 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 abelian-by-nilpotent groups
• Bounded generation does not imply finite presentation
• Commutators of Certain Finitely Generated Soluble Groups

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