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.

引用

页码：656 / 669

页数：14

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