Abstract

In this article we study the involutions of O(V,q), an orthogonal group for a vector space V with quadratic form q over a field of characteristic two. The classification proceeds by discussing conjugacy classes of involutions arising as a product of transvections, involutions with respect to a hyperbolic space, and involutions acting nontrivially in the radical of V. We achieve a complete classification of the conjugacy classes of involutions when the quadratic space (V,q) is non-defective, and conclude with a discussion of the defective case.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.