String C-groups with real Schur index 2

被引：0
|
作者：
Cameron, Peter J. [1 ]
Herman, Allen [2 ]
Leemans, Dimitri [3 ]
机构：
[1] Univ St Andrews, Sch Math & Stat, North Haugh, St Andrews KY16 9SS, Fife, Scotland
[2] Univ Regina, Dept Math & Stat, Regina, SK S4S 0A2, Canada
[3] Univ Libre Bruxelles, Dept Math, CP216 Algebre & Combinatoire,Blvd Triomphe, B-1050 Brussels, Belgium
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2022年 / 226卷 / 08期
基金：
澳大利亚研究理事会; 加拿大自然科学与工程研究理事会;
关键词：
String C-groups; Schur index; Regular abstract polytopes; Simple groups of Lie type;
D O I：
10.1016/j.jpaa.2022.107025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give examples of finite string C-groups (the automorphism groups of abstract regular polytopes) that have irreducible characters of real Schur index 2. This answers a problem of Monson concerning these groups.(c) 2022 Elsevier B.V. All rights reserved.
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页数：5
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