Deleting-inserting theorem for smooth actions of finite nonsolvable groups on spheres
type: Item
instance of: scholarly article
title: Deleting-inserting theorem for smooth actions of finite nonsolvable groups on spheres
zbMATH Open document ID: 0843.57034
DOI: 10.1007/BF02565998
author: Masaharu Morimoto
author: Erkki Laitinen
author: Krzysztof Pawałowski
published in: Commentarii Mathematici Helvetici
publication date: 1996-08-18T00:00:00Z
full work available at URL: https://eudml.org/doc/140360
review text: Summary: The paper presents a method which allows to construct smooth finite nonsolvable group actions on spheres with prescribed fixed point data. The idea is to consider an action on a disk with the required fixed point data, and then to apply equivariant surgery to the equivariant double of the disk to remove the second copy of the fixed point data. In this paper, the method is applied to construct smooth group actions on spheres with exactly one fixed point, and more general actions with fixed point set diffeomorphic to any given closed stably parallelizable smooth manifold. The method is expected to be useful for constructions of smooth group actions on spheres with more complicated fixed point data.
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 57R67
zbMATH DE Number: 791084
zbMATH Keywords: smooth finite nonsolvable group actions
zbMATH Keywords: spheres
zbMATH Keywords: fixed point
MaRDI profile type: Publication
OpenAlex ID: W2026983020
description: scientific article; zbMATH DE number 791084