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2013 On the influence of transitively normal subgroups on the structure of some infinite groups
Leonid A. Kurdachenko, Javier Otal
Publ. Mat. 57(1): 83-106 (2013).

Abstract

A transitively normal subgroup of a group $G$ is one that is normal in every subgroup in which it is subnormal. This concept is obviously related to the transitivity of normality because the latter holds in every subgroup of a group $G$ if and only if every subgroup of $G$ is transitively normal. In this paper we describe the structure of a group whose cyclic subgroups (or a part of them) are transitively normal.

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Leonid A. Kurdachenko. Javier Otal. "On the influence of transitively normal subgroups on the structure of some infinite groups." Publ. Mat. 57 (1) 83 - 106, 2013.

Information

Published: 2013
First available in Project Euclid: 18 December 2012

zbMATH: 1293.20028
MathSciNet: MR3058928

Subjects:
Primary: 20E15
Secondary: 20F16, 20F19

Rights: Copyright © 2013 Universitat Autònoma de Barcelona, Departament de Matemàtiques

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Vol.57 • No. 1 • 2013
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