On τ-Closed Formations of n-Ary Group

  • Avni Faez Al-Dababseh

Abstract

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 \(\mathfrak{F}\) .
Published
25.01.2001
How to Cite
Al-DababsehA. F. “On τ-Closed Formations of N-Ary Group”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 53, no. 1, Jan. 2001, pp. 113-6, https://umj.imath.kiev.ua/index.php/umj/article/view/4226.
Section
Short communications