Finite groups whose element orders do not exceed twenty
Finite groups whose element orders do not exceed twenty作者机构：Department of Mathematics Temple University Philadelphia PA 19122 USA Institute of Mathematics Southwest Normal University Chongqing 400715 China
出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))
年 卷 期：2000年第10卷第1期
页 面：13-23页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0702[理学-物理学]
基 金：Project supported by the National Natural Science Foundation of China (Grant No. 19571066) the State Education Ministry Foundation of China and the NSF of USA (Grant INT. 9600217)
主 题：finite group element orders classification theorem.
摘 要：Let h(γ) denote the number of distinct finite groups G such that πe(G) = γ. Hereγ is a set of positive integers, and πe ( G) is the set of element orders of G. It is proved that h(γ)℃{0, 1,2, ∞} for γ(?){1, 2, 3,..., 20}.
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