A characterization of the group 2 D n (2), where n=2 m +1≥5

被引：8

作者：

Darafsheh M.R. ^{[1
]}

Mahmiani A. ^{[2
]}

机构：

[1] School of Mathematics, College of Science, University of Tehran, Tehran

[2] Islamic Azad University, Aliabad-e-Katool

来源：

Journal of Applied Mathematics and Computing | 2009年 / 31卷 / 1-2期

关键词：

Linear group; Order component; Prime graph;

D O I：

10.1007/s12190-008-0223-4

中图分类号：

学科分类号：

摘要：

In this paper it is proved that the group 2 D n (2), where n=2 m +1≥5, can be uniquely determined by its order components. More precisely we will prove that if G is a finite group and OC(G) denotes the set of order components of G, then OC(G)=OC(2 D n (2)) if and only if G ≅ 2 D n (2). A main consequence of our result is the validity of Thompson's conjecture for the group under consideration. © 2008 Korean Society for Computational and Applied Mathematics.

引用

页码：447 / 457

页数：10

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