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.
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页码：3003 / 3010
页数：8
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