UPPER BOUNDS ON THE UNIFORM SPREADS OF THE SPORADIC SIMPLE GROUPS

被引：0

作者：

Rahimipour, Ali Reza ^{[1
]}

Farzaneh, Yousof ^{[2
]}

机构：

[1] Univ Qom, Fac Sci, Dept Math, POB 37161-46611, Qom, Iran

[2] Iran Univ Sci Technol, Fac Sci, Dept Math, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2019年 / 8卷 / 03期

关键词：

Exact uniform spread; Exact spread; Sporadic group; PROBABILISTIC GENERATION;

D O I：

10.22108/ijgt.2018.111238.1478

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A finite group G has uniform spread k if there exists a fixed conjugacy class C of elements in G with the property that for any k nontrivial elements s(1), s(2), . . . , s(k) in G there exists y is an element of C such that G = < si, y > for i = 1, 2, . . . , k. Further, the exact uniform spread of G is the largest k such that G has the uniform spread k. In this paper we give upper bounds on the exact uniform spreads of thirteen sporadic simple groups.

引用

页码：15 / 31

页数：17

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