DOI: 10.1112/blms.70423 ISSN: 0024-6093
Cohomology of solvable saturable pro‐p groups and Lie algebras
Oihana Garaialde Ocaña, Jon González‐Sánchez, Lander Guerrero‐SánchezAbstract
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.