Finite group action and vanishing of N_∗^G[F]

N. J. Dev and S. S. Khare

Vol. 122 (1986), No. 1, 57–71

DOI: 10.2140/pjm.1986.122.57

Abstract

Let G be a finite group (not necessarily abelian). The object of this paper is to describe a G-bordism theory which vanishes. We construct a family F of G slice types, such that the N_∗-module N_∗^G[F] is zero. Kosniowski has proved a similar result earlier for a finite abelian group. The present work is a generalisation of his result by using basically the same technique. A recent result of Khare is obtained as a corollary to the vanishing of N_∗^G[F].

Mathematical Subject Classification 2000

Primary: 57R85

Milestones

Received: 9 July 1984

Published: 1 March 1986