FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2002, VOLUME 8, NUMBER 1, PAGES 17-25

About determinableness of an Abelian group by its holomorph in the class of all Abelian groups

I. H. Bekker
V. N. Nedov

Abstract

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For an Abelian group without elements of order $2$ the following results were obtained: 1) a criterion for its determinableness by its holomorph in the class of all Abelian groups; 2) a criterion for its characteristicness in its holomorph.

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