The Thompson-Lyons transfer lemma for fusion systems
arXiv:1303.5996 · doi:10.1112/blms/bdu083
Abstract
In this note, a generalization of the Thompson transfer lemma and its various extensions, most recently due to Lyons, is proven in the context of saturated fusion systems. A strengthening of Alperin's fusion theorem is also given in this setting, following Alperin's own "up and down" fusion.
v1, 7 pages; comments welcome. v2, main theorem restated in stronger form, minor fixes. To appear in Bull. Lond. Math. Soc