Control of fusion and cohomology of trivial source modules

飛田, 明彦

説明

Let G be a finite group and H a subgroup. We give an algebraic proof of Mislin's theorem which states that the restriction map from G to H on mod-p cohomology is an isomorphism if and only if H controls p-fusion in G. We follow the approach of P. Symonds [P. Symonds, Mackey functors and control of fusion, Bull. London Math. Soc. 36 (2004) 623?632] and consider the cohomology of trivial source modules.

収録刊行物

JOURNAL OF ALGEBRA

JOURNAL OF ALGEBRA 317 (2), 462-470, 2007-11

ACADEMIC PRESS INC ELSEVIER SCIENCE

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詳細情報詳細情報について

CRID: 1050001202942737152

NII論文ID: 120006384626

ISSN: 00218693

Web Site: https://sucra.repo.nii.ac.jp/records/12140

本文言語コード: en

資料種別: journal article

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