A Study About One Generation of Finite Simple Groups and Finite Groups
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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.
2016 ◽
Vol 09
(03)
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pp. 1650054
2006 ◽
Vol 58
(1)
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pp. 23-38
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2019 ◽
Vol 18
(12)
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pp. 1950230
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1998 ◽
Vol 58
(1)
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pp. 137-145
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2016 ◽
Vol 15
(09)
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pp. 1650163
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