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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

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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
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:
DateEvent
November 2021Published
30 September 2021Available
7 September 2021Accepted
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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