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4 results on '"Vincenzi, Giovanni"'

1. Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties

Author

Esteban Romero, Ramón and Vincenzi, Giovanni

Subjects
‎group without infinite‎ ‎simple sections, Subgroup&#8206, FC&#8727, lcsh:Mathematics, Group&#8206, ‎T-group‎, Group Without Infinite&#8206, Grups, Teoria de, subgroup embedding properties, lcsh:QA1-939, t-property, &#8206, ‎subgroup‎ ‎embedding property‎, ‎FC$^*$-group‎, Simple Sections, t-property, subgroup embedding properties, ‎group‎, Embedding Property&#8206, MATEMATICA APLICADA, T-Group&#8206
Abstract

[EN] In this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in certain universes of groups with some finiteness properties., The research of the first author has been supported by the research grant MTM2014-54707-C3-1-P by the Ministerio de Economia y Competitividad (Spain) and FEDER (European Union).

Published
2018

2. Some characterisations of groups in which normality is a transitive relation by means of subgroup embedding properties

Author

Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Ministerio de Economía y Competitividad, Esteban Romero, Ramón, Vincenzi, Giovanni, Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada, Ministerio de Economía y Competitividad, Esteban Romero, Ramón, and Vincenzi, Giovanni

Abstract

[EN] In this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in certain universes of groups with some finiteness properties.

Published
2018

3. SOME CHARACTERISATIONS OF GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION BY MEANS OF SUBGROUP EMBEDDING PROPERTIES.

Author

ESTEBAN-ROMERO, RAMÓN and VINCENZI, GIOVANNI

Subjects
*FINITE groups, *MAXIMAL subgroups
Abstract

In this survey we highlight the relations between some subgroup embedding properties that characterise groups in which normality is a transitive relation in certain universes of groups with some finiteness properties. [ABSTRACT FROM AUTHOR]

Published
2018
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4. A CHARACTERIZATION OF SOLUBLE GROUPS IN WHICH NORMALITY IS A TRANSITIVE RELATION.

Author

VINCENZI, GIOVANNI

Subjects
*SUBGROUP growth, *GROUP theory, *MULTIPLY transitive groups, *SOLVABLE groups, *ABSTRACT algebra
Abstract

A subgroup X of a group G is said to be an H-subgroup if NG(X) ∩ Xg ⩽ X for each element g belonging to G. In [M. Bianchi and e.a., On finite soluble groups in which normality is a transitive relation, J. Group Theory, 3 (2000) 147-156.] the authors showed that finite groups in which every subgroup has the H-property are exactly soluble groups in which normality is a transitive relation. Here we extend this characterization to groups without simple sections. [ABSTRACT FROM AUTHOR]

Published
2017

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