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
收藏
页码：1117 / 1126
页数：10
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