Cohomology of solvable saturable pro‐p groups and Lie algebras

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Authors: Oihana Garaialde Ocaña, Jon González‐Sánchez, Lander Guerrero-Sánchez
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Abstract

Abstract Let be an odd prime and let be an integer. We show that the mod‐ cohomology of a solvable saturable pro‐ group is isomorphic to the mod‐ cohomology of its associated ‐Lie algebra as an ‐vector space. Additionally, we obtain that the mod‐ cohomology of and of are isomorphic as ‐vector spaces.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Advanced Topics in Algebra Advanced Algebra and Geometry

Publication details

Journal / source
Bulletin of the London Mathematical Society
Volume
58
Issue
7
Publication date
23 June 2026
Language
EN