\(K\)-theoretic groups with positioning map and equivariant surgery
type: Item
instance of: scholarly article
title: \(K\)-theoretic groups with positioning map and equivariant surgery
zbMATH Open document ID: 0822.57025
author: Anthony Bak
author: Masaharu Morimoto
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-08-08T00:00:00Z
review text: The authors outline some aspects (mostly the algebraic ones) of an approach to equivariant surgery theory which requires a slightly weaker gap condition than previous work in this subject. This work has been announced as a preprint for some time [the authors, Equivariant surgery on compact manifolds with half dimensional singular set (Preprint 1992)]. With the help of this theory one can construct one fixed point actions on spheres for all those groups for which this is not impossible by the work of Oliver, see [\textit{E. Laitinen} and the second author, Finite groups with smooth one fixed point actions on spheres (Preprint 1993)].
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 19G24
Mathematics Subject Classification ID: 57R67
Mathematics Subject Classification ID: 57S25
Mathematics Subject Classification ID: 57R65
Mathematics Subject Classification ID: 57R91
zbMATH DE Number: 597319
zbMATH Keywords: equivariant surgery theory
zbMATH Keywords: gap condition
zbMATH Keywords: one fixed point actions on spheres
reviewed by: Karl Heinz Dovermann
MaRDI profile type: Publication
full work available at URL: pjaa.70.6
OpenAlex ID: W2057958772
cites work: K-Theory of Forms. (AM-98)
cites work: Q4872057
cites work: One fixed point actions on low-dimensional spheres
cites work: Transformation groups and representation theory
cites work: Induction and structure theorems for Grothendieck and Witt rings of orthogonal representations of finite groups
cites work: Induction and structure theorems for orthogonal representations of finite groups
cites work: Finite groups with smooth one fixed point actions on spheres
cites work: Most standard spheres have smooth one fixed point actions of \(A_ 5\). II
cites work: Fixed-point sets of group actions on finite acyclic complexes
cites work: One fixed point actions on spheres. I,II
DOI: 10.3792/PJAA.70.6
description: scientific article; zbMATH DE number 597319