On the number of isomorphism classes of derived subgroups
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We show that a finite nonabelian characteristically simple group G satisfies n = |π(G)| + 2 if and only if G ≅ A5, where n is the number of isomorphism classes of derived subgroups of G and π(G) is the set of prime divisors of the group G. Also, we give a negative answer to a question raised in M. Zarrin (2014).
Keywordsderived subgroup simple group
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