Generating minimally transitive permutation groups

被引：1
|
作者：
Tracey, Gareth M. [1 ]
机构：
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
来源：
JOURNAL OF ALGEBRA | 2016年 / 460卷
基金：
英国工程与自然科学研究理事会;
关键词：
Group theory; Finite permutation groups; Minimal generation of finite groups; Crown-based powers; Finite simple groups; FINITE-GROUPS;
D O I：
10.1016/j.jalgebra.2016.04.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that each minimally transitive permutation group of degree n can be generated by mu(n) + 1 elements, where mu(n) := max {m : there exists a prime p such that p(m) divides n}. (C) 2016 Published by Elsevier Inc.
引用
收藏
页码：380 / 386
页数：7
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