Annali di Matematica Pura ed Applicata

, Volume 150, Issue 1, pp 299–309 | Cite as

About the finite groups whose minimal normal subgroups are union of two conjugacy classes exactly

  • Antonio Vera López
  • Juan Vera López
Article
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Summary

In this paper we classify all the finite groups G satisfying β(G)=r(G) — α(G) - 1 where r(G) is the number of conjugacy classes of G, β(G) the number of minimal normal subgroups of G, S(G) the socle of G and α(G) the number of conjugacy classes of G out of S(G), and such that ¦G/S(G)¦ is divisible for at most three prime numbers.

Keywords

Normal Subgroup Finite Group Prime Number Conjugacy Class Minimal Normal Subgroup 

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References

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1987

Authors and Affiliations

  • Antonio Vera López
    • 1
  • Juan Vera López
    • 2
  1. 1.Facultad de Ciencias, Departamento de MatemáticasUniversidad del País VascoBilbaoSpain
  2. 2.Instituto Nacional de Bachillerato Cura Valera HuercalOvera AlmeriaSpain

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