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On the number of isomorphism classes of derived subgroups

  • Leyli Jafari Taghvasani
  • Soran Marzang
  • Mohammad Zarrin
Article
  • 3 Downloads

Abstract

We show that a finite nonabelian characteristically simple group G satisfies n = |π(G)| + 2 if and only if GA5, 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).

Keywords

derived subgroup simple group 

MSC

20F24 

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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  • Leyli Jafari Taghvasani
    • 1
  • Soran Marzang
    • 1
  • Mohammad Zarrin
    • 1
  1. 1.Department of MathematicsUniversity of KurdistanSanandajIran

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