Group actions on rational homology spheres
type: Item
instance of: scholarly article
title: Group actions on rational homology spheres
zbMATH Open document ID: 0734.55002
author: Stefano De Michelis
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/244075
review text: The author studies the homology of the fixed point set on a rational homology sphere under the action of a finite group. He gives some bounds on the genus of the fixed surfaces, depending on the number of trivial and cyclotomic factors appearing in the representation of the group. He also constructs actions of cyclic groups of prime order p on \({\mathbb{Z}}[1/p]\) homology spheres such that the fixed point set consists of points and surfaces of arbitrarily large genus.
Mathematics Subject Classification ID: 55M35
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 57S25
zbMATH DE Number: 4214937
zbMATH Keywords: Smith conjecture
zbMATH Keywords: Borel spectral sequence
zbMATH Keywords: fixed point set
zbMATH Keywords: rational homology sphere
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4214937