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  • cohomology of pro-fusion systems

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On the Cohomology of Pro-Fusion Systems

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  • Antonio Diaz Ramos
  • Oihana Garaialde Ocana
  • Nadia Mazza
  • Sejong Park
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Article number2350243
<mark>Journal publication date</mark>30/11/2023
<mark>Journal</mark>Journal of Algebra and Its Applications
Issue number11
Volume22
Publication StatusPublished
Early online date12/09/22
<mark>Original language</mark>English

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.