Vanishing ranges for the mod p cohomology of alternating subgroups of Coxeter groups

Akita, Toshiyuki; Liu, Ye

Journal of Algebra, 2017, 473, 132-141

Permalink : https://hdl.handle.net/2115/72709

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アクセス権	open access
URI	https://hdl.handle.net/2115/72709
タイトル	Vanishing ranges for the mod p cohomology of alternating subgroups of Coxeter groups
著者	著者名 Akita, Toshiyuki
著者	著者名 Liu, Ye
言語	英語
キーワード	Group cohomology
	Coxeter groups
	Alternating subgroups
発行日	2017-03-01
出版者	Elsevier
収録物名	Journal of Algebra
巻(号)	473
ページ	132-141
抄録	We obtain vanishing ranges for the mod p cohomology of alternating subgroups of finite p-free Coxeter groups. Here a Coxeter group W is p-free if the order of the product st is prime to p for every pair of Coxeter generators s, t of W. Our result generalizes those for alternating groups formerly proved by Kleshchev-Nakano and Burichenko. As a byproduct, we obtain vanishing ranges for the twisted cohomology of finite p-free Coxeter groups with coefficients in the sign representations. In addition, a weak version of the main result is proved for a certain class of infinite Coxeter groups. (C) 2016 Elsevier Inc. All rights reserved.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
権利情報	Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
権利情報	©2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
PISSN	0021-8693
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.jalgebra.2016.11.005