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Massey products in the homology of the loop space of a p-completed classifying space : finite groups with cyclic Sylow p-subgroups
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Benson, Dave and Greenlees, John (2021) Massey products in the homology of the loop space of a p-completed classifying space : finite groups with cyclic Sylow p-subgroups. Proceedings of the Edinburgh Mathematical Society, 64 (4). pp. 908-915. doi:10.1017/S0013091521000651 ISSN 0013-0915 .
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Official URL: http://dx.doi.org/10.1017/S0013091521000651
Abstract
Let G be a finite group with cyclic Sylow p -subgroups, and let k be a field of characteristic p . Then H∗(BG;k) and H∗(ΩBG∧p;k) are A∞ algebras whose structure we determine up to quasi-isomorphism.
| Item Type: | Journal Article | ||||||||
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| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Massey products , Classifying spaces, Finite groups, Sylow subgroups | ||||||||
| Journal or Publication Title: | Proceedings of the Edinburgh Mathematical Society | ||||||||
| Publisher: | Cambridge University Press | ||||||||
| ISSN: | 0013-0915 | ||||||||
| Official Date: | November 2021 | ||||||||
| Dates: |
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| Volume: | 64 | ||||||||
| Number: | 4 | ||||||||
| Page Range: | pp. 908-915 | ||||||||
| DOI: | 10.1017/S0013091521000651 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | This article has been published in a revised form in Proceedings of the Edinburgh Mathematical Society http://doi.org/10.1017/S0013091521000651. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. © copyright holder. | ||||||||
| Access rights to Published version: | Open Access (Creative Commons) | ||||||||
| Copyright Holders: | Copyright © The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society | ||||||||
| Date of first compliant deposit: | 14 October 2021 | ||||||||
| Date of first compliant Open Access: | 4 March 2022 |
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