Ukrainian Mathematical Journal

, Volume 53, Issue 1, pp 129–133 | Cite as

On τ-Closed Formations of n-Ary Group

  • Al Dababseh Avni Faez


We prove that if G is a nonsingle-element n-ary finite group that belongs to a τ-closed formation \(\mathfrak{F}\), then \(G/{\text{soc(}}G{\text{)}} \in \Phi _\tau (\mathfrak{F})\), where \(\Phi _\tau (\mathfrak{F})\) is the intersection of all maximal τ-closed subformations of the τ-closed formation of n-ary groups \(\mathfrak{F}\).


Finite Group 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • Al Dababseh Avni Faez
    • 1
  1. 1.Belorussian Transport UniversityGomelBelorussia

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