Title

On the Structure of Generalized Symmetric Spaces of SLn (𝔽q)

Document Type

Article

Publication Date

5-2017

Department

Mathematics

Language

English

Publication Title

Communications in Algebra

Abstract

In this paper we extend previous results regarding SL2(k) over any finite field k by investigating the structure of the symmetric spaces for the family of special linear groups SLn(k) for any integer n>2. Specifically, we discuss the generalized and extended symmetric spaces of SLn(k) for all conjugacy classes of involutions over a finite field of odd or even characteristic. We characterize the structure of these spaces and provide an explicit difference set in cases where the two spaces are not equal.

Comments

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DOI

10.1080/00927872.2017.1296458

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