Tate's and Yoshida's theorem on control of transfer for fusion systems
classification
🧮 math.GR
math.RT
keywords
fusionsystemstatetransfercontrolyoshidaanaloguescohomology
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We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of $p$-group residuals and transfer maps in cohomology for fusion systems. As a corollary we obtain a $p$-nilpotency criterion due to Tate.
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