Real classes of finite special unitary groups

被引：6

作者：

Fry, Amanda A. Schaeffer ^{[1
]}

Vinroot, C. Ryan ^{[2
]}

机构：

[1] Metropolitan State Univ Denver, Dept Math & Comp Sci, Denver, CO 80217 USA

[2] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

来源：

JOURNAL OF GROUP THEORY | 2016年 / 19卷 / 05期

关键词：

CONJUGACY CLASSES; REPRESENTATIONS;

D O I：

10.1515/jgth-2016-0009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify all real and strongly real classes of the finite special unitary group SUn(q). Unless q equivalent to 3. (mod4) and n vertical bar 4, the classification of real classes is similar to that of the finite special linear group SLn(q). We relate strong reality in SUn(q) to strong reality in the finite special orthogonal groups SOn +/- (q), and we classify real and strongly real classes in the last case for the group SOn +/- (q), when q is odd and n equivalent to 2 (mod 4).

引用

页码：735 / 762

页数：28

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