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

Antonio Diaz Ramos; A. Glesser; S. Park; R. Stancu

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

Antonio Diaz Ramos, A. Glesser, S. Park, R. Stancu

Department of Mathematical Sciences

13 Citations (Scopus)

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.

Original language	English
Journal	Journal of the London Mathematical Society
Volume	84
Issue number	2
Pages (from-to)	475
ISSN	0024-6107
Publication status	Published - Oct 2011

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title = "Tate's and Yoshida's theorems 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.",

author = "{Diaz Ramos}, Antonio and A. Glesser and S. Park and R. Stancu",

year = "2011",

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T1 - Tate's and Yoshida's theorems on control of transfer for fusion systems

AU - Diaz Ramos, Antonio

AU - Glesser, A.

AU - Park, S.

AU - Stancu, R.

PY - 2011/10

Y1 - 2011/10

N2 - 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.

AB - 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.

M3 - Journal article

SN - 0024-6107

VL - 84

SP - 475

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

IS - 2

ER -

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

Abstract

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