Massey products in the homology of the loopspace of a $p$-completed classifying space: finite groups with cyclic Sylow $p$-subgroups

David Benson; John Greenlees

doi:10.1017/S0013091521000651

Massey products in the homology of the loopspace of a $p$-completed classifying space: finite groups with cyclic Sylow $p$-subgroups

David Benson^* (Corresponding Author), John Greenlees

^*Corresponding author for this work

Mathematical Science

University of Warwick

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

4 Downloads (Pure)

Abstract

Let be a finite group with cyclic Sylow -subgroups, and let be a field of characteristic. Then and are algebras whose structure we determine up to quasi-isomorphism.

Original language	English
Pages (from-to)	908-915
Number of pages	8
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	64
Early online date	30 Sept 2021
DOIs	https://doi.org/10.1017/S0013091521000651
Publication status	Published - Nov 2021

Bibliographical note

Funding Information:
The authors are grateful to EPSRC: the second author is supported by EP/P031080/1, which also enabled the first author to visit Warwick. The authors would also like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for providing an opportunity to work on this project during the simultaneous programmes ‘-theory, algebraic cycles and motivic homotopy theory’ and ‘Groups, representations and applications: new perspectives’ (one author was supported by each programme).
Open access via CUP agreement

Keywords

cyclic Sylow subgroups
cohomology of groups
p-completed classifying space
loop spaces
Massey products
A algebras

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10.1017/S0013091521000651Licence: CC BY

Benson_etal_PEMS_massey_products_in_VOR
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Final published version, 385 KBLicence: CC BY

Cite this

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abstract = "Let be a finite group with cyclic Sylow -subgroups, and let be a field of characteristic. Then and are algebras whose structure we determine up to quasi-isomorphism.",

keywords = "cyclic Sylow subgroups, cohomology of groups, p-completed classifying space, loop spaces, Massey products, A algebras",

author = "David Benson and John Greenlees",

note = "Funding Information: The authors are grateful to EPSRC: the second author is supported by EP/P031080/1, which also enabled the first author to visit Warwick. The authors would also like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for providing an opportunity to work on this project during the simultaneous programmes {\textquoteleft}-theory, algebraic cycles and motivic homotopy theory{\textquoteright} and {\textquoteleft}Groups, representations and applications: new perspectives{\textquoteright} (one author was supported by each programme). Open access via CUP agreement ",

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AU - Greenlees, John

N1 - Funding Information: The authors are grateful to EPSRC: the second author is supported by EP/P031080/1, which also enabled the first author to visit Warwick. The authors would also like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for providing an opportunity to work on this project during the simultaneous programmes ‘-theory, algebraic cycles and motivic homotopy theory’ and ‘Groups, representations and applications: new perspectives’ (one author was supported by each programme). Open access via CUP agreement

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AB - Let be a finite group with cyclic Sylow -subgroups, and let be a field of characteristic. Then and are algebras whose structure we determine up to quasi-isomorphism.

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KW - cohomology of groups

KW - p-completed classifying space

KW - loop spaces

KW - Massey products

KW - A algebras

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JF - Proceedings of the Edinburgh Mathematical Society

ER -

Massey products in the homology of the loopspace of a $p$-completed classifying space: finite groups with cyclic Sylow $p$-subgroups

Abstract

Bibliographical note

Keywords

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