A characterization of L3 (4)

被引：8
|
作者：
Liu, Shitian [1 ]
机构：
[1] Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Sichuan, Peoples R China
来源：
SCIENCEASIA | 2013年 / 39卷 / 04期
关键词：
element order; linear group; Thompson's problem; number of elements of the same order;
D O I：
10.2306/scienceasia1513-1874.2013.39.436
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Let G be a group and w(G) be the set of element orders of G. Let k is an element of w(G) and s(k) be the number of elements of order k in G. Let nse(G) = {s(k) vertical bar k is an element of w(G)}. L-3(2) congruent to L-2(7) is uniquely determined by nse(G). In this paper, we prove that if G is a group such that nse(G) = nse(L-3(4)), then G congruent to L-3(4).
引用
收藏
页码：436 / 439
页数：4
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