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

Park, Sejong
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http://dx.doi.org/10.1112/jlms/jdr019
 http://hdl.handle.net/10379/3727
 https://doi.org/10.13025/15244
Publication Date
2010-03
Keywords
Fusion systems
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journal article
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Díaz, Antonio and Glesser, Adam and Park, Sejong and Stancu, Radu (2011) 'Tate's and Yoshida's theorems on control of transfer for fusion systems'. J. Lond. Math. Soc. (2), 84 (2):475-494.
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.
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Mathematics (Scholarly Articles)