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RESEARCH PRODUCT
SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY
Luis M. EzquerroAdolfo Ballester-bolinchesAlexander N. Skibasubject
Discrete mathematicsCombinatoricsFinite groupProperty (philosophy)Group (mathematics)General MathematicsStructure (category theory)Cover (algebra)Mathematicsdescription
AbstractA 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-04-17 | Bulletin of the Australian Mathematical Society |