The palindromic width of a free product of groups

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Palindromes 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.
11 pages

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Group Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/69505

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312153
 http://arxiv.org/abs/math/0312153

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arXiv