Tate's and Yoshida's theorem on control of transfer for fusion systems

Abstract

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.

20 pages

Cited by in corpus (4)

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