Files

870751.pdf (465.31 KB)

Document type

Article

Version

Accepted version

Publication date

2024-04-20

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/217220

Actions of large finite groups on manifolds

Journal Title

Authors

Director/Tutor

Additional contribution

Journal ISSN

Volume Title

Abstract

In this paper we survey some recent results on actions of finite groups on topological manifolds. Given an action of a finite group $G$ on a manifold $X$, these results provide information on the restriction of the action to a subgroup of $G$ of index bounded above by a number depending only on $X$. Some of these results refer to the algebraic structure of the group, such as being abelian, or nilpotent, or admitting a generating subset of controlled size; other results refer to the geometry of the action, e.g. to the existence of fixed points, to the collection of stabilizer subgroups, or to the action on cohomology.

Related resource

https://doi.org/10.1142/S0129167X2441012X

Subject

Varietats (Matemàtica), Grups de transformacions

Subject (English)

Manifolds (Mathematics), Transformation groups

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

MUNDET I RIERA, Ignasi. Actions of large finite groups on manifolds. International Journal of Mathematics. 2024. Vol. 35, num. 9. ISSN 0129-167X. [consulted: 7 of October of 2026]. Available at: https://hdl.handle.net/2445/217220

Export metadata

JSON - METS

Share record