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

被引:67
|
作者
Mazurov V.D.
机构
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.
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页码:93 / 110
页数:17
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