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Groups Complexity Cryptology

Managing Editor: Shpilrain, Vladimir / Weil, Pascal

Editorial Board: Ciobanu, Laura / Conder, Marston / Eick, Bettina / Elder, Murray / Fine, Benjamin / Gilman, Robert / Grigoriev, Dima / Ko, Ki Hyoung / Kreuzer, Martin / Mikhalev, Alexander V. / Myasnikov, Alexei / Perret, Ludovic / Roman'kov, Vitalii / Rosenberger, Gerhard / Sapir, Mark / Thomas, Rick / Tsaban, Boaz / Capell, Enric Ventura / Lohrey, Markus


CiteScore 2018: 0.80

SCImago Journal Rank (SJR) 2018: 0.368
Source Normalized Impact per Paper (SNIP) 2018: 1.061

Mathematical Citation Quotient (MCQ) 2017: 0.32

Online
ISSN
1869-6104
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Palindromic width of wreath products, metabelian groups, and max-n solvable groups

Tim R. Riley / Andrew W. Sale
Published Online: 2014-10-07 | DOI: https://doi.org/10.1515/gcc-2014-0009

Abstract

A group has finite palindromic width if there exists n such that every element can be expressed as a product of n or fewer palindromic words. We show that if G has finite palindromic width with respect to some generating set, then so does Gr. We also give a new, self-contained proof that finitely generated metabelian groups have finite palindromic width. Finally, we show that solvable groups satisfying the maximal condition on normal subgroups (max-n) have finite palindromic width.

Keywords: Palindrome; metabelian group; solvable group; wreath product

MSC: 20F16; 20F65

About the article

Received: 2014-03-12

Published Online: 2014-10-07

Published in Print: 2014-11-01


Citation Information: Groups Complexity Cryptology, Volume 6, Issue 2, Pages 121–132, ISSN (Online) 1869-6104, ISSN (Print) 1867-1144, DOI: https://doi.org/10.1515/gcc-2014-0009.

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