On the Cohomology of Pro-Fusion Systems

Diaz Ramos, Antonio and Garaialde Ocana, Oihana and Mazza, Nadia and Park, Sejong (2022) On the Cohomology of Pro-Fusion Systems. Journal of Algebra and Its Applications. ISSN 0219-4988

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Abstract

We prove the Cartan-Eilenberg stable elements theorem and construct a Lyndon-Hochschild-Serre type spectral sequence for pro-fusion systems. As an application, we determine the continuous mod-p cohomology ring of GL2(ℤp) for any odd prime p.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Algebra and Its Applications
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2604
Subjects:
ID Code:
174163
Deposited By:
Deposited On:
04 Aug 2022 14:00
Refereed?:
Yes
Published?:
Published
Last Modified:
13 Sep 2022 01:11