Fixed points of endomorphisms of graph groups

被引：10

作者：

Rodaro, Emanuele ^{[1
]}

Silva, Pedro V. ^{[1
]}

Sykiotis, Mihalis ^{[2
]}

机构：

[1] Univ Porto, Fac Ciencias, Ctr Matemet, P-4169007 Oporto, Portugal

[2] Natl & Kapodistrian Univ Athens, Dept Math, GR-15784 Athens, Greece

来源：

JOURNAL OF GROUP THEORY | 2013年 / 16卷 / 04期

关键词：

AUTOMORPHISMS; SUBGROUPS;

D O I：

10.1515/jgt-2012-0047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is shown, for a given graph group G, that the fixed point subgroup Fix phi is finitely generated for every endomorphism phi of G if and only if G is a free product of free abelian groups. The same conditions hold for the subgroup of periodic points. Similar results are obtained for automorphisms if the dependence graph of G is a transitive forest.

引用

页码：573 / 583

页数：11

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