Quasi-Boolean groups
Group Theory
2025-10-17 v3 K-Theory and Homology
Number Theory
Abstract
We give several equivalent characterisations of the maximal pro-2 quotients of real projective groups. In particular, for pro-2 real projective groups we provide a presentation in terms of generators and relations, and a purely cohomological characterisation. As a consequence we explicitly reconstruct such groups from their mod 2 cohomology rings.
Cite
@article{arxiv.2502.07681,
title = {Quasi-Boolean groups},
author = {Ambrus Pál and Gereon Quick},
journal= {arXiv preprint arXiv:2502.07681},
year = {2025}
}
Comments
v3: 37 pages, minor corrections and additions, final version accepted for publication in Advances in Mathematics