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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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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 64 / Issue 4 / November 2021
- Published online by Cambridge University Press:
- 30 September 2021, pp. 908-915
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- Article
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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 $H_*(\Omega BG{{}^{{}^{\wedge }}_p};k)$
are $A_\infty$
algebras whose structure we determine up to quasi-isomorphism.
Koszul A∞-algebras and free loop space homology
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 63 / Issue 1 / February 2020
- Published online by Cambridge University Press:
- 18 July 2019, pp. 37-65
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