Ah. Arikan, Ayn. Arikan, N. Trabelsi, “Zaitsev-type results”, Algebra Logika, 2014, Volume 53, Number 2,Pages <nobr>141

Zaitsev-type results

Ah. Arikan^a, Ayn. Arikan^b, N. Trabelsi^c

^a Gazi Üniversitesi, Gazi Eğitim Fakültesi, Matematik Eğitimi Anabilim Dalı, 06500 Teknikokullar, Ankara, Turkey
^b Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, 06500 Teknikokullar, Ankara, Turkey
^c Lab. Fundam. Num. Math., Dep. Math., Univ. Setif 1, Setif, Algeria

Abstract: Certain results on soluble groups due to D. I. Zaitsev are extended to some more general contexts, for instance, to groups that satisfy an outer commutator word law.

Keywords: soluble group, nilpotent group, block, outer commutator word law.

UDC: 512.5

Received: 10.11.2013