Strongly real special 2-groups
Dilpreet Kaur, Amit Kulshrestha
TL;DR
This paper characterizes strongly real special 2-groups using quadratic maps over fields of characteristic 2, distinguishing them from totally orthogonal groups and providing relevant examples.
Contribution
It offers a new characterization of strongly real special 2-groups through quadratic maps, clarifying their relation to other subclasses of real groups.
Findings
Characterization of strongly real special 2-groups via quadratic maps
Examples differentiating subclasses of real groups
Insight into the structure of special 2-groups
Abstract
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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Taxonomy
TopicsFinite Group Theory Research · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology