The Thompson-Lyons transfer lemma for fusion systems
classification
🧮 math.GR
keywords
fusionalperinlemmasystemstransfercontextdownextensions
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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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