Control of fusion and cohomology of trivial source modules
抄録
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
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- JOURNAL OF ALGEBRA
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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
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- CRID
- 1050001202942737152
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- NII論文ID
- 120006384626
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- ISSN
- 00218693
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- 本文言語コード
- en
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- 資料種別
- journal article
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- データソース種別
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- IRDB
- CiNii Articles
- KAKEN