On a class of topological groups more general than SIN groups

Robert Walter Bagley, Ta-Sun Wu and J. S. Yang

Vol. 117 (1985), No. 2, 209–217

DOI: 10.2140/pjm.1985.117.209

Abstract

We consider a class of topological groups more general than those with small invariant nieghborhoods of the identity, SIN-groups. We refer to these more general groups as N-groups. We prove that a compactly generated N-group is a SIN-group. This result has several applications, including the following: A locally compact N-group is unimodular.

Mathematical Subject Classification 2000

Primary: 22A05

Milestones

Received: 17 June 1983

Revised: 3 October 1983

Published: 1 April 1985