Arbitrary classes in >2-degree cohomology of a finite group with arbitrary coefficients may be trivialized in a finite extension
Abstract
The purpose of this note is to provide exposition for a proof of the statement in the title. This idea, that arbitrary cohomology classes (of high enough degree) of a finite group $G$ can be trivialized in a finite group extension, has been known to experts for some time.
Fields of Study & Subjects
Finite Group Theory Research
Homotopy and Cohomology in Algebraic Topology
Advanced Topics in Algebra
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 7 January 2026
- Document type
- Preprint