Topological equivalence of linear representations for cyclic groups: I

Ian Hambleton; Erik K. Pedersen

doi:https://doi.org/10.4007/annals.2005.161.61

Pages 61-104 from Volume 161 (2005), Issue 1 by Ian Hambleton, Erik K. Pedersen

Abstract

In the two parts of this paper we prove that the Reidemeister torsion invariants determine topological equivalence of $G$-representations, for $G$ a finite cyclic group.

Mathematical Subject Classification

Primary 2000: 19G24, 57Q10, 57S05

Milestones

Received: 4 August 1997
Revised: 29 July 2003
Accepted: 8 April 2004
Published online: January 2005

Authors

Ian Hambleton

McMaster University, Department of Mathematics and Statistics, Hamilton, Ontario L8S 4K1, Canada

Erik K. Pedersen

Department of Mathematical Sciences, SUNY at Binghamton, Binghamton, NY 13902, United States