MATHEMATICS

On the numerical characteristics of the factors of the central series and their relationships in some algebraic structures

A. A. Pypka

Oles Honchar Dnipro National University

Abstract: The relationships between some numerical characteristics of the members and factors of the upper and lower central series in groups and Lie algebras are investigated.

Keywords: Schur’s theorem, Baer’s theorem, special rank, section p-rank, upper (lower) central series of Lie algebra.

UDC: 512.542, 512.554

Received: 30.10.2017