Fixed Subgroups are not Compressed in Direct Products of Surface Groups

Qiang ZHANG ¹Jianchun WU ²Fanling GU³

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作者信息

1. School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China
2. Department of Mathematics,Soochow University,Suzhou 215006,Jiangsu,China
3. School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China;School of General Education,Guangzhou College of Technology and Business,Guangzhou 510850,China
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Abstract

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].

Key words

Fixed subgroup/Free group/Surface group/Direct product/Inertia/Compression

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基金项目

National Natural Science Foundation of China(12271385)

National Natural Science Foundation of China(12471066)

Shaanxi Fundamental Science Research Project for Mathematics and Physics(23JSY027)

出版年

2024

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

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