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Vanishing ranges for the mod p cohomology of alternating subgroups of Coxeter groups
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| Title: | Vanishing ranges for the mod p cohomology of alternating subgroups of Coxeter groups |
| Authors: | Akita, Toshiyuki Browse this author | | Liu, Ye Browse this author |
| Keywords: | Group cohomology | | Coxeter groups | | Alternating subgroups |
| Issue Date: | 1-Mar-2017 |
| Publisher: | Elsevier |
| Journal Title: | Journal of Algebra |
| Volume: | 473 |
| Start Page: | 132 |
| End Page: | 141 |
| Publisher DOI: | 10.1016/j.jalgebra.2016.11.005 |
| Abstract: | 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. |
| Rights: | ©2017, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ | | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/72709 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 秋田 利之
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