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 . pp. 1-8. doi:10.1017/S0013091521000651 (In Press)

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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 > 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:	2021
Dates:	Date Event 2021 Published 30 September 2021 Available 7 September 2021 Accepted
Page Range:	pp. 1-8
DOI:	10.1017/S0013091521000651
Status:	Peer Reviewed
Publication Status:	In Press
Publisher Statement:	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:	Restricted or Subscription Access
Copyright Holders:	Copyright © The Author(s), 2021. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society

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