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

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

2010-02-23

arxiv.org/abs/1002.4343v1

Mathematics

Group Theory

20 pages

Scientific paper

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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