SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY

SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY

A subgroup A of a group G has the strong cover-avoidance property in G, or A is a strong CAP-subgroup of G, if A either covers or avoids every chief factor of every subgroup of G containing A. The main aim of the present paper is to analyse the impact of the strong cover and avoidance property of th...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Bulletin of the Australian Mathematical Society 2009-06, Vol.79 (3), p.499-506
Hauptverfasser: BALLESTER-BOLINCHES, A., EZQUERRO, LUIS M., SKIBA, ALEXANDER N.
Format: Artikel
Sprache:eng
Schlagworte:
20D15
20D20
Avoidance
cover-avoidance property
finite group
Group theory
Impact analysis
primary 20D10
saturated formation
Subgroups
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A subgroup A of a group G has the strong cover-avoidance property in G, or A is a strong CAP-subgroup of G, if A either covers or avoids every chief factor of every subgroup of G containing A. The main aim of the present paper is to analyse the impact of the strong cover and avoidance property of the members of some relevant families of subgroups on the structure of a group.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972709000100