Title: The Thompson-Lyons transfer lemma for fusions systems
Author: Justin Lynd

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.

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Version 2: Theorem TL restated in stronger form. Minor fixes in
response to anonymous referee.

Status: To appear in Bull. Lond. Math. Soc.