Group actions on contractible 2-complexes II

成果类型:
Article
署名作者:
Piterman, Kevin Ivan; Costa, Ivan Sadofschi
署名单位:
University of Buenos Aires; Vrije Universiteit Brussel
刊物名称:
INVENTIONES MATHEMATICAE
ISSN/ISSBN:
0020-9910
DOI:
10.1007/s00222-025-01363-8
发表日期:
2025
页码:
563-570
关键词:
摘要:
In this second part we prove that, if G is one of the groups PSL2(q) with q > 5 and q-5 (mod 24) or q-13 (mod 24), then the fundamental group of every acyclic 2dimensional, fixed point free and finite G-complex admits a nontrivial representation in a unitary group U(m). This completes the proof of the following result: every action of a finite group on a finite and contractible 2-complex has a fixed point.
来源URL: