FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 6, PAGES 121-134

On some near to nilpotent groups

L. A. Kurdachenko
I. Ya. Subbotin
V. A. Chupordya

Abstract

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Locally (soluble-by-finite) groups each of whose subgroups is either pronormal or subnormal are studied. It is proven that such torsion-free groups are nilpotent and a sketch of the structure of locally finite groups of this type is obtained.

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