The number of isomorphism classes of finite groups with given element orders

被引：4
作者：
Deng H. [1 ]
Lucido M.S. [2 ]
Shi W. [3 ]
机构：
[1] Department of Computer Science, Southwest Normal University, Chongqing
[2] Dipartimento di Matematica e Informatica, Universita di Udine, I-33100, Udine
[3] Institute of Mathematics, Southwest Normal University, Chongqing
来源：
Algebra and Logic | 2002年 / 41卷 / 1期
基金：
美国国家科学基金会;
关键词：
Finite group; Prime graph; Set of element orders of a group;
D O I：
10.1023/A:1014658001689
中图分类号：
学科分类号：
摘要：
Let G be a finite group and πe(G) the set of element orders of G. Denote by h(πe(G)) the number of isomorphism classes of finite groups H satisfying πe(H) = πe(G). We prove that if G has at least three prime graph components, then h(πe(G)) ∈ (1, ∞). © 2002 Plenum Publishing Corporation.
引用
收藏
页码：39 / 46
页数：7
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