JOURNAL ARTICLE

有限域上射影特殊酉群的几类极大子群

尚志 李建国 查

Year: 1982 Journal:   Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 12 (2)Pages: 125-131   Publisher: Science China Press

Abstract

本文定出了PSU(n,q2)(n≥3)中含T-子群的全部极大子群(T-子群是指由某一方向上全部酉平延组成的子群). 这些极大子群的所有可能的类型为:PSU(u,q2)所作用的空间V的全迷向子空间或维数小于n/2的非退化子空间的定驻子群;将V分成一些同维数的子空间的正交和,这些子空间组成的集合的定驻子群(有少数例外);当n为偶数时,自然地嵌在PSU(n,q2)中的PSp(n,q)或PSp(n,q)Z2;以及PSU(6,4)中一类特殊子群.

Keywords:
Computer science

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Citation History

Topics

Rings, Modules, and Algebras
Physical Sciences →  Mathematics →  Algebra and Number Theory
Finite Group Theory Research
Physical Sciences →  Mathematics →  Discrete Mathematics and Combinatorics

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