A Study About One Generation of Finite Simple Groups and Finite Groups
- Nader Taffach
Abstract
In this paper, we study the problem of how a finite group can be generated by some subgroups. In order to the finite simple groups, we show that any finite non-abelian simple group can be generated by two Sylow p1 - and p_2 -subgroups, where p_1 and p_2 are two different primes. We also show that for a given different prime numbers p and q , any finite group can be generated by a Sylow p -subgroup and a q -subgroup.- Full Text: PDF
- DOI:10.5539/jmr.v13n3p59
This work is licensed under a Creative Commons Attribution 4.0 License.
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