Products of partial normal subgroups

2015/06/04 by Henke, Ellen
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1506.01459

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.

Related

• Finite Localities I
• Commuting partial normal subgroups and regular localities
• Direct and Central Products of Localities
• Semidirect Products and Wreath Products of Localities
• Embedding Properties in Central Products