Quasirecognition by prime graph of the simple group 2 F 4(q)

被引：26

作者：

Akhlaghi, Z. ^{[1
]}

Khatami, M. ^{[1
]}

Khosravi, B. ^{[1
,2
]}

机构：

[1] Amirkabir Univ Technol Tehran Polytech, Fac Math & Comp Sci, Dept Pure Math, Tehran 15914, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran

来源：

ACTA MATHEMATICA HUNGARICA | 2009年 / 122卷 / 04期

关键词：

quasirecognition; prime graph; simple group; element order; ELEMENT ORDERS; FINITE-GROUPS;

D O I：

10.1007/s10474-009-8048-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As the main result, we show that if G is a finite group such that I"(G) = I"((2) F (4)(q)), where q = 2(2m+1) for some m a parts per thousand 1, then G has a unique nonabelian composition factor isomorphic to (2) F (4)(q). We also show that if G is a finite group satisfying vertical bar G vertical bar =vertical bar(2) F (4)(q)vertical bar and I"(G) = I"((2) F (4)(q)), then G a parts per thousand... (2) F (4)(q). As a consequence of our result we give a new proof for a conjecture of W. Shi and J. Bi for (2) F (4)(q).

引用

页码：387 / 397

页数：11

共 25 条

[1] Quasirecognition of one class of finite simple groups by the set of element orders [J].