Fixed Subgroups are not Compressed in Direct Products of Surface Groups

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外文摘要：By constructing counterexamples,the authors show that the fixed subgroups are not compressed in direct products of free and surface groups,and hence negate a conjecture in[Zhang,Q.,Ventura,E.and J.Wu,Fixed subgroups are compressed in surface groups,Internat.J.Algebra Comput.,25,2015,865-887].

外文关键词：

Fixed subgroupFree groupSurface groupDirect productInertiaCompression

作者：

Qiang ZHANG、Jianchun WU、Fanling GU

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作者单位：

School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China

Department of Mathematics,Soochow University,Suzhou 215006,Jiangsu,China

School of General Education,Guangzhou College of Technology and Business,Guangzhou 510850,China

基金：

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaShaanxi Fundamental Science Research Project for Mathematics and Physics

项目编号：

122713851247106623JSY027

出版年：

2024

DOI：

10.1007/s11401-024-0035-3

数学年刊B辑(英文版)

国家教育部委托复旦大学主办

数学年刊B辑(英文版)

CSTPCD

影响因子：0.129

ISSN：0252-9599

年,卷(期)：2024.45(5)