|
Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >
A vanishing theorem for the p-local homology of Coxeter groups
| Title: | A vanishing theorem for the p-local homology of Coxeter groups |
| Authors: | Akita, Toshiyuki Browse this author |
| Issue Date: | Dec-2016 |
| Publisher: | Wiley |
| Journal Title: | Bulletin of the London Mathematical Society |
| Volume: | 48 |
| Start Page: | 945 |
| End Page: | 956 |
| Publisher DOI: | 10.1112/blms/bdw063 |
| Abstract: | Given an odd prime number p and a Coxeter group W such that the order of the product st is prime to p for all Coxeter generators s, t of W, we prove that the p-local homology groups H-k(W, Z((p))) vanish for 1 <= k <= 2(p - 2). This generalizes a known vanishing result for symmetric groups due to Minoru Nakaoka. |
| Rights: | This is the peer reviewed version of the following article: Akita, T. (2016), A vanishing theorem for the p-local homology of Coxeter groups. Bulletin of the London Mathematical Society, 48: 945–956, which has been published in final form at doi:10.1112/blms/bdw063. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/67762 |
| 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)
|
Submitter: 秋田 利之
|
