The Thompson-Lyons transfer lemma for fusion systems
Group Theory
2017-01-30 v2
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.
Cite
@article{arxiv.1303.5996,
title = {The Thompson-Lyons transfer lemma for fusion systems},
author = {Justin Lynd},
journal= {arXiv preprint arXiv:1303.5996},
year = {2017}
}
Comments
v1, 7 pages; comments welcome. v2, main theorem restated in stronger form, minor fixes. To appear in Bull. Lond. Math. Soc