On the geometry of unitary involutions

被引：6
|
作者：
Cossidente, Antonio [1 ]
Pavese, Francesco [1 ]
机构：
[1] Univ Basilicata, Dipartimento Matemat Informat & Econ, I-85100 Potenza, Italy
来源：
FINITE FIELDS AND THEIR APPLICATIONS | 2015年 / 36卷
关键词：
Finite unitary group; Hermitian variety; Permutable polarities; Involution; CLASSICAL-GROUPS; PERFECT FIELDS;
D O I：
10.1016/j.ffa.2015.06.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the geometry of involutions of the finite unitary group P Gamma U(n + 1, q(2)). The configurations of fixed singular points, fixed singular lines and fixed symplectic subgeometries in the case n = 3, are provided. This allows us to describe the geometry of linear involutions of PGO(-) (6, q). (C) 2015 Elsevier Inc. All rights reserved.
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页码：14 / 28
页数：15
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