Quasi-Boolean groups

Fuente: arXiv
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Auteurs principaux: Pál, Ambrus, Quick, Gereon
Format: Preprint
Publié: 2025
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author Pál, Ambrus
Quick, Gereon
author_facet Pál, Ambrus
Quick, Gereon
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2502_07681
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasi-Boolean groups
Pál, Ambrus
Quick, Gereon
Group Theory
K-Theory and Homology
Number Theory
20E18, 12F10, 20J06
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.
title Quasi-Boolean groups
topic Group Theory
K-Theory and Homology
Number Theory
20E18, 12F10, 20J06
url https://arxiv.org/abs/2502.07681