Counting the Generalized and Extended Symmetric Spaces of SO(3,Fq)

Advisor(s)

Dr. Ellen Ziliak; Benedictine University

Discipline

Mathematics

Start Date

21-4-2021 11:25 AM

End Date

21-4-2021 11:50 AM

Abstract

In this paper we will provide a count for the size of both the generalized and extended symmetric spaces of SO(3,Fq) for all involutions when the characteristic is not equal to two. In addition we will explicitly describe the elements in the extended symmetric space and the fixed point group for both involutions.

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Apr 21st, 11:25 AM Apr 21st, 11:50 AM

Counting the Generalized and Extended Symmetric Spaces of SO(3,Fq)

In this paper we will provide a count for the size of both the generalized and extended symmetric spaces of SO(3,Fq) for all involutions when the characteristic is not equal to two. In addition we will explicitly describe the elements in the extended symmetric space and the fixed point group for both involutions.