The combinatorics of the generalizedand extended symmetric spaces of SO(3,Fq)

被引：0

作者：

Aliakseyeu, Raman ^{[1
]}

Oliven, Natalie ^{[1
]}

Thieme, Ethan ^{[1
]}

Ziliak, Ellen ^{[1
]}

机构：

[1] Benedictine Univ, Dept Math & Computat Sci, Lisle, IL 60532 USA

来源：

INVOLVE, A JOURNAL OF MATHEMATICS | 2024年 / 17卷 / 05期

关键词：

generalized symmetric space; special orthogonal group; finite fields;

D O I：

10.2140/involve.2024.17.753

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We 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 2.In addition we explicitly describe the elements in the extended symmetric space and the fixed point group for both involutions.

引用

页数：22