Vol. 68, No. 2, 1977

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ISSN: 0030-8730
Abstractly split group extensions

G. Hochschild and David Wheeler Wigner

Vol. 68 (1977), No. 2, 447–453
Abstract

1. Introductory survey. Consider a group extension 1 A E→
π G 1 in some category of groups with superstructure (topological, analytic, algebraic). Suppose it is split in the category of abstract groups, i.e., there is a homomorphism σ : G E of abstract groups such that π σ is the identity map on G. We are concerned with the question of when it is possible to conclude that the extension is split as an extension in the given category.

Mathematical Subject Classification 2000
Primary: 22A25
Secondary: 20J99
Milestones
Received: 16 December 1976
Published: 1 February 1977
Authors
G. Hochschild
David Wheeler Wigner