例外型Chevalley群G_2(q)的h函数值  

THE VALUE OF THE h-FUNCTION OF EXCEPTIONAL CHEVALLEY GROUPS G_2(q)

作　　者：曹洪平[1] 

机构地区：[1]西南师范大学数学与财经学院,重庆400715

出　　处：《数学年刊（A辑）》2004年第6期753-760,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10171074)西南师范大学博士基金(No.2003-01)资助的项目.

摘　　要：设G是有限群,πe(G)表示G中元素的阶的集合,h(πe(G))表示满足πe(H)=πe(G)条件的有限群H的同构类类数,本文证明了例外型Chevalley群G2(q)的h函数值为1或∞.Let G be a finite group. Denote by πe(G) the set of all orders of elements in G, by h(πe(G)) the number of isomorphism classes of groups H such that πe(H) = πe(G). In this paper, the author proves that the value of the h-function of exceptional Chevalley groups G2(q) is 1 or ∞.

关 键 词：有限群 CHEVALLEY群 元素的阶之集 群的素图 

分 类 号：O152.1[理学—数学]