On Determinability of a Quotient Divisible Abelian Group of Rank 1 by Its Automorphism Group

Vildanov, Vadim K.; Timoshenko, Egor A.; Вильданов, Вадим К.; Тимошенко, Егор А.

doi:10.17516/1997-1397-2019-12-6-699-704

Автор:

Vildanov, Vadim K.

Timoshenko, Egor A.

Вильданов, Вадим К.

Тимошенко, Егор А.

Дата:

2019-12

Журнал:

Журнал Сибирского федерального университета. Математика и физика. Journal of Siberian Federal University. Mathematics & Physics; 2019 12 (6)

Аннотация:

A criterion for determinability of a quotient divisible Abelian group of rank 1 by its automorphism group in the class of quotient divisible Abelian groups of rank 1 is considered in the paper

Получен критерий определяемости факторно делимой абелевой группы ранга 1 ее группой автоморфизмов в классе факторно делимых абелевых групп ранга 1

Коллекции:

Математика и физика. Mathematics & Physics. 2019 12 (6) [13]

Метаданные:

Показать полную информацию

Показаны похожие ресурсы по названию, автору или тематике.

On the Equationally Artinian Groups

Shahryari, Mohammad; Tayyebi, Javad; Шахрияри, Мохаммад; Тайеби, Джавад (Сибирский федеральный университет. Siberian Federal University, 2020-09)

In this article, we study the property of being equationally Artinian in groups. We define the radical topology corresponding to such groups and investigate the structure of irreducible closed sets of these topologies. ...
Sharply 3-transitive Groups with Finite Element

Durakov, Evgeny B.; Дураков, Евгений Б. (Сибирский федеральный университет. Siberian Federal University, 2021-04)

In this paper we study sharply 3-transitive groups. The local finiteness of sharply triply transitive permutation groups of characteristic p > 3 containing a finite element of order p is proved. Keywords: group, sharply ...
On a Sufficient Condition when an Infinite Group Is not Simple

Shlepkin, Aleksei A.; Шлепкин, Алексей А. (Сибирский федеральный университет. Siberian Federal University, 2018-03)

We describe the conditions of existing periodic part in Shunkov group
Characterizations of Simple Linear Groups in the Class of Periodic Groups

Lytkina, Daria V.; Mazurov, Victor D.; Лыткина, Дарья В.; Мазуров, Виктор Д. (Сибирский федеральный университет. Siberian Federal University, 2017-09)

This paper is a survey of some results about the structure of periodic groups saturated with finite simple groups of Lie type. It is based on a talk of authors given on the XI workshop on Group theory dedicated to the ...
Problems of Bounding the p-Length and Fitting Height of Finite Soluble Groups

Khukhro, Evgeny I.; Хухро, Евгений И. (Сибирский федеральный университет. Siberian Federal University., 2013-11)

This paper is a survey of some open problems and recent results about bounding the Fitting height and p-length of finite soluble groups. In many problems of finite group theory, nowadays the classification greatly ...