Orthogonal Groups in Characteristic 2 Acting on Polytopes of High Rank

被引：2
|
作者：
Brooksbank, P. A. [1 ]
Ferrara, J. T. [1 ]
Leemans, D. [2 ]
机构：
[1] Bucknell Univ, Dept Math, Lewisburg, PA 17837 USA
[2] Univ Libre Bruxelles, Dept Math, CP 216 Algebre & Combinatoire,Blvd Triomphe, B-1050 Brussels, Belgium
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2020年 / 63卷 / 03期
关键词：
Quadratic form; Orthogonal group; String C-group; Abstract regular polytope; REFLECTION GROUPS; FINITE-FIELDS;
D O I：
10.1007/s00454-019-00083-0
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We show that for all integers m similar to 2, and all integers k similar to 2, the orthogonal groups O +/- (2m, F2k) act on abstract regular polytopes of rank 2m, and the symplectic groups Sp(2m, F2k) act on abstract regular polytopes of rank 2m + 1.
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页码：656 / 669
页数：14
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