Fixed subgroups of endomorphisms of free products

JOURNAL OF ALGEBRA

卷:315

Article

Sykiotis, Mihalis

关键词: free products;    endomorphisms;    fixed subgroups;   

DOI  :  10.1016/j.jalgebra.2007.04.022

来源: Elsevier

【 摘 要 】

Let G = *(n)(i)= (1)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(finitely generated residually finite group, then the fixed subgroup Fix(finitely generated residually finite group, then the fixed subgroup Fix(phi) = {g is an element of G: phi(g) = g} of phi has Kurosh rank at most n. (C) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free