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

页码：436 / 439

页数：4

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