Fixed point groups of involutions of type O(q,k) over a field of characteristic two

2023/01/14 by Mark Hunnell, Hunnell, Mark, John Hutchens +1
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2301.05887

openalex publication_date 2023/01/14 · openalex created_date 2023/01/19 · openalex updated_date 2026/07/28

Abstract

For O(q,k), the orthogonal group over a field k of characteristic 2 with respect to a quadratic form q, we discuss the isomorphism classes of fixed points of involutions. When the quadratic space is either totally singular or nonsingular, a full classification of the isomorphism classes is given. We also give some implications of these results for a general quadratic space over a field of characteristic 2.

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