Unitary cobordism of classifying spaces of quaternion groups

Abdeslam Mesnaoui

Vol. 142 (1990), No. 1, 69–101

DOI: 10.2140/pjm.1990.142.69

Abstract

The main purpose of this article is to prove that the complex cobordism ring of classifying spaces of quaternion groups Γ_k(|Γ_k| = 2^k) is a quotient of the graded ring U^∗(pt)[[X,Y,Z]] (dimX = dimY = 2,dim = Z = 4) by a graded ideal generated by six homogeneous formal power series.

Mathematical Subject Classification 2000

Primary: 55N22

Secondary: 57R77, 57R90

Milestones

Received: 5 October 1986

Revised: 15 August 1988

Published: 1 March 1990