Title: Subgroups of finite groups with a strong cover-avoidance property
Authors: Ballester-Bolinches, A.
Ezquerro, L.M.
Skiba, A.N.
Скиба, А.Н.
Keywords: finite group
cover-avoidance property
saturated formation
Issue Date: 2009
Citation: Ballester-Bolinches, A. Subgroups of finite groups with a strong cover-avoidance property / A. Ballester-Bolinches, L. M. Ezquerro, A. N. Skiba // Bulletin of the Australian Mathematical Society. – 2009. – Vol. 79, No. 3. – P. 499-506. – DOI 10.1017/S0004972709000100.
Abstract: 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.
URI: https://elib.gsu.by/handle123456789/77566
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