Recognition of finite simple groups S4(q) by their element orders

被引：67
|
作者：
Mazurov V.D.
机构：
来源：
Algebra and Logic | 2002年 / 41卷 / 2期
基金：
俄罗斯基础研究基金会;
关键词：
Finite simple groups; Recognizability of groups by their element orders;
D O I：
10.1023/A:1015356614025
中图分类号：
学科分类号：
摘要：
It is proved that among simple groups S4(q) in the class of finite groups, only the groups S4(3n), where n is an odd number greater than unity, are recognizable by a set of their element orders. It is also shown that simple groups U3(9), 3D 4(2), G2(4), S6(3), F4(2); and 2E6(2) are recognizable, but L3(3) is not. © 2002 Plenum Publishing Corporation.
引用
收藏
页码：93 / 110
页数：17
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