Products of partial normal subgroups
Group Theory
2015-09-23 v2
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
Cite
@article{arxiv.1506.01459,
title = {Products of partial normal subgroups},
author = {Ellen Henke},
journal= {arXiv preprint arXiv:1506.01459},
year = {2015}
}
Comments
10 pages; compared to the first version some more background on localities included; this version is accepted to the Robert Steinberg Memorial Issue of the Pacific Journal of Mathematics