Products of partial normal subgroups
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.
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