FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2011/2012, VOLUME 17, NUMBER 8, PAGES 183-219

On Abelian groups close to $E$-solvable groups

A. R. Chekhlov

Abstract

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$E$-nilpotent and $E$-solvable Abelian groups are studied. The properties of such groups are studied and examples illustrating the differences and connections between the investigated classes of groups have been presented. The structure of $E$-solvable periodical, completely decomposable, coperiodic, split mixed, and other groups is shown.

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Last modified: March 23, 2013