On determinability of a completely decomposable rank 2 group by its automorphism group | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2020. № 68. DOI: 10.17223/19988621/68/2

On determinability of a completely decomposable rank 2 group by its automorphism group

Necessary and sufficient conditions are found under which two completely decomposable torsion-free Abelian groups of rank 2 have isomorphic automorphism groups. An answer is obtained to the question of under what conditions a completely decomposable Abelian group of rank 2 is uniquely determined by its group of automorphisms.

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Keywords

matrix, involution, completely decomposable group, automorphism group

Authors

Name	Organization	E-mail
Vildanov Vadim K.	Tomsk State University	kadirovi4@gmail.com
Gaidak Violetta A.	Tomsk State University	gaidakvioletta@gmail.com
Timoshenko Egor A.	Tomsk State University	tea471@mail.tsu.ru

Всего: 3

References

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Фукс Л. Бесконечные абелевы группы. Т. 2. М.: Мир, 1977.