Characterizability of the group 2D p(3) by its order components, where p ≥ 5 is a prime number not of the form 2m+1

被引：9

作者：

Darafsheh, M. R. ^{[1
]}

机构：

[1] Univ Tehran, Sch Mat, Coll Sci, Tehran, Iran

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2008年 / 24卷 / 07期

关键词：

prime graph; order component; linear group;

D O I：

10.1007/s10114-007-6143-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The author will prove that the group (2)D (p) (3) can be uniquely determined by its order components, where p not equal 2(m) + 1 is a prime number, p >= 5. More precisely, if OC(G) denotes the set of order components of G, we will prove OC(G) = OC((2)D(p) (3)) if and only if G is isomorphic to (2)D(p) (3). A main consequence of our result is the validity of Thompson's conjecture for the groups under consideration.

引用

页码：1117 / 1126

页数：10

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