The palindromic width of a free product of groups

Details The palindromic width of a free product of groups The palindromic width of a free product of groups

2003-12-08

arxiv.org/abs/math/0312153v1

Mathematics

Group Theory

11 pages

Scientific paper

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.

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