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 27 条

[1] Fixed subgroups are compressed in surface groups
Zhang, Qiang
Ventura, Enric
Wu, Jianchun
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2015, 25 (05) : 865 - 887
[2] Fixed Subgroups are not Compressed in Direct Products of Surface Groups
Zhang, Qiang
Wu, Jianchun
Gu, Fanling
CHINESE ANNALS OF MATHEMATICS SERIES B, 2024, 45 (05) : 703 - 708
[3] The subgroups of direct products of surface groups
Bridson, MR
Howie, J
Miller, CF
Short, H
GEOMETRIAE DEDICATA, 2002, 92 (01) : 95 - 103
[4] The Subgroups of Direct Products of Surface Groups
Martin R. Bridson
James Howie
Charles F. Miller
Hamish Short
Geometriae Dedicata, 2002, 92 : 95 - 103
[5] Explicit bounds for fixed subgroups of endomorphisms of free products
Lei, Jialin
Zhang, Qiang
JOURNAL OF ALGEBRA, 2023, 633 : 773 - 787
[6] A Description of Fixed Subgroups of Free Groups
Zhang, Qiang
CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (05) : 713 - 718
[7] Direct products of finite groups as unions of proper subgroups
Garonzi, Martino
Lucchini, Andrea
ARCHIV DER MATHEMATIK, 2010, 95 (03) : 201 - 206
[8] Direct products of finite groups as unions of proper subgroups
Martino Garonzi
Andrea Lucchini
Archiv der Mathematik, 2010, 95 : 201 - 206
[9] A description of fixed subgroups of free groups
Qiang Zhang
Chinese Annals of Mathematics, Series B, 2016, 37 : 713 - 718
[10] A Description of Fixed Subgroups of Free Groups
Qiang ZHANG
ChineseAnnalsofMathematics,SeriesB, 2016, (05) : 713 - 718

← 1 2 3 →