The palindromic width of a free product of groups

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dc.creatorBardakov, Valery
dc.creatorTolstykh, Vladimir
dc.date2003-12-08
dc.date.accessioned2026-07-07T05:03:39Z
dc.date.available2026-07-07T05:03:39Z
dc.descriptionPalindromes are those reduced words of free products of groups that coincide with their reverse words. We prove that a free product of groups $G$ has infinite palindromic width, provided that $G$ is not the free product of two cyclic groups of order two. This means that there is no a uniform bound $k$ such that every element of $G$ is a product of at most $k$ palindromes. Earlier the similar fact established for non-abelian free groups.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0312153
dc.identifierhttp://arxiv.org/abs/math/0312153
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69505
dc.subjectGroup Theory
dc.titleThe palindromic width of a free product of groups
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