Vol. 41, No. 1, 1972

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Homology of a group extension

Yasutoshi Nomura

Vol. 41 (1972), No. 1, 195–202
Abstract

A topological method has been used by Ganea to derive the homology exact sequence of a central extension. In the same spirit a homology exact sequence is constructed for a group extension with certain homological restrictions. An immediate consequence is an exact sequence of Kervaire which is of some significance in algebraic K-theory.

Mathematical Subject Classification 2000
Primary: 18H10
Secondary: 20J05
Milestones
Received: 10 March 1971
Published: 1 April 1972
Authors
Yasutoshi Nomura