Quasi-Boolean groups
Ambrus P\'al, Gereon Quick

TL;DR
This paper characterizes the maximal pro-2 quotients of real projective groups through various equivalent methods, including presentations and cohomological properties, enabling explicit reconstruction from cohomology rings.
Contribution
It provides new presentations and cohomological characterizations of pro-2 real projective groups, facilitating their explicit reconstruction from cohomology data.
Findings
Equivalent characterizations of maximal pro-2 quotients
Presentation of pro-2 groups via generators and relations
Reconstruction from mod 2 cohomology rings
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.
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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Algebra and Logic
