Author:
Erfanian Ahmad,Wiegold James
Abstract
The aim of this paper is to give a new precise formula for h(n, A), where A is a finite non-abelian simple group, h(n, A) is the maximum number such that Ah(n, A) can ke generated by n elements, and n ≥ 2. P. Hall gave a formula for h(n, A) in terms of the Möbius function of the subgroup lattice of A; the new formula involves a concept called cospread associated with that of spread as explained in Brenner and Wiegold (1975).
Publisher
Cambridge University Press (CUP)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On classes of functions of many-valued logic with minimal logarithmic growth rate;Discrete Mathematics and Applications;2020-08-26
2. The size of generating sets of powers;Journal of Combinatorial Theory, Series A;2019-10
3. GROWTH RATES OF ALGEBRAS, I: POINTED CUBE TERMS;Journal of the Australian Mathematical Society;2016-01-22
4. Euler-Hall functions on Ree groups;Siberian Mathematical Journal;2013-03
5. A Solution to a Problem of Wiegold;Communications in Algebra;2013-01-31