Fixed subgroups in direct products of surface groups of Euclidean type

被引：5

作者：

Wu, Jianchun ^{[1
]}

Ventura, Enric ^{[2
]}

Zhang, Qiang ^{[3
]}

机构：

[1] Soochow Univ, Dept Math, Suzhou, Peoples R China

[2] Univ Politecn Cataluna, Dept Matemat, Manresa, Spain

[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2020年 / 48卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Compressed; direct products; fixed subgroups; free groups; inert; intersections; surface groups; HOMEOMORPHISMS; AUTOMORPHISMS; TOPOLOGY; POINTS; BOUNDS;

D O I：

10.1080/00927872.2020.1726939

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an explicit characterization of which direct products G of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of G is compressed, and of which is it always inert.

引用

页码：3003 / 3010

页数：8

共 14 条

[1] Supports of derivations, free factorizations, and ranks of fixed subgroups in free groups [J].