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arxiv: 1210.3790 · v1 · pith:J3GFNMMPnew · submitted 2012-10-14 · 🧮 math.GR · math.RT

Strongly real special 2-groups

classification 🧮 math.GR math.RT
keywords groupsrealstronglycharacterizationspecialarticlecharacteristicexamples
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Strongly real groups and totally orthogonal groups form two important subclasses of real groups. In this article we give a characterization of strongly real special 2-groups. This characterization is in terms of quadratic maps over fields of characteristic 2. We then provide examples of groups which are in one subclass and not the other.

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