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...
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| Veröffentlicht in: | Bulletin of the Australian Mathematical Society 2009-06, Vol.79 (3), p.499-506 |
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| container_end_page | 506 |
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| container_title | Bulletin of the Australian Mathematical Society |
| container_volume | 79 |
| creator | BALLESTER-BOLINCHES, A. EZQUERRO, LUIS M. SKIBA, ALEXANDER N. |
| description | 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. |
| doi_str_mv | 10.1017/S0004972709000100 |
| format | Article |
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| identifier | ISSN: 0004-9727 |
| ispartof | Bulletin of the Australian Mathematical Society, 2009-06, Vol.79 (3), p.499-506 |
| issn | 0004-9727 1755-1633 |
| language | eng |
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| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Cambridge Journals - CAUL Collection |
| subjects | 20D15 20D20 Avoidance cover-avoidance property finite group Group theory Impact analysis primary 20D10 saturated formation Subgroups |
| title | SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY |
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