Embeddings of maximal tori in orthogonal groups
Eva Bayer-Fluckiger
TL;DR
This paper characterizes when orthogonal groups over fields of characteristic not 2 contain maximal tori of specific types, providing a complete set of necessary and sufficient conditions.
Contribution
It offers a comprehensive criterion for the existence of particular maximal tori in orthogonal groups, advancing understanding of their subgroup structure.
Findings
Derived necessary and sufficient conditions for maximal tori existence
Classified types of maximal tori in orthogonal groups
Enhanced understanding of subgroup structures in algebraic groups
Abstract
We give necessary and sufficient conditions for an orthogonal group defined over a field of characteristic not 2 to contain a maximal torus of a given type.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Finite Group Theory Research