Unitary bordism of classifying spaces of quaternion groups

Abdeslam Mesnaoui

Vol. 142 (1990), No. 1, 49–67

DOI: 10.2140/pjm.1990.142.49

Abstract

Let Γ_k be the generalized quaternion group of order 2^k. In this article we determine a set of generators for the U_∗(pt)-module U_∗(BΓ_k) and give all linear relations between them. Moreover their orders are calculated.

Mathematical Subject Classification 2000

Primary: 55N22

Secondary: 57R77, 57R90

Milestones

Received: 5 October 1986

Revised: 15 August 1988

Published: 1 March 1990