Fixed Subgroups of Endomorphisms of Free Products

Details Fixed Subgroups of Endomorphisms of Free Products Fixed Subgroups of Endomorphisms of Free Products

2006-06-07

arxiv.org/abs/math/0606159v1

Mathematics

Group Theory

7 pages

Scientific paper

Let $G=\ast_{i=1}^{n}G_{i}$ and let $\phi$ be a symmetric endomorphism of
$G$. If $\phi$ is a monomorphism or if $G$ is a finitely generated residually
finite group, then the fixed subgroup $Fix(\phi)=\{g\in G:\phi(g)=g\}$ of
$\phi$ has Kurosh rank at most $n$.

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