Products of partial normal subgroups

Ellen Henke

Vol. 279 (2015), No. 1-2, 255–268

DOI: 10.2140/pjm.2015.279.255

Abstract

We show that the product of two partial normal subgroups of a locality (in the sense of Chermak) is again a partial normal subgroup. This generalizes a theorem of Chermak and fits into the context of building a local theory of localities.

Keywords

fusion systems, localities, transporter systems

Mathematical Subject Classification 2010

Primary: 20D20, 20N99

Milestones

Received: 2 June 2015

Revised: 30 August 2015

Accepted: 21 September 2015

Published: 21 December 2015