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A question on partial CAP-subgroups of finite groups |
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| Authors: | Adolfo Ballester-Bolinches Ramón Esteban-Romero YangMing Li |
| Institution: | BALLESTER-BOLINCHES Adolfo1,,ESTEBAN-ROMERO Ramón2 & LI YangMing3 1Departament d’ lgebra,Universitat de València,Burjassot 46100,València,Spain;2Institut Universitari de Matemàtica Pura i Aplicada,Universitat Politècnica de València,Val`encia 46022,Spain;3Department of Mathematics,Guangdong University of Education,Guangzhou 510310,China |
| Abstract: | A subgroup H of a finite group G is a partial CAP-subgroup of G if there is a chief series of G such that H either covers or avoids every chief factor of the series. The structural impact of the partial cover and avoidance property of some distinguished subgroups of a group has been studied by many authors. However, there are still some open questions which deserve an answer. The purpose of the present paper is to give a complete answer to one of these questions. |
| Keywords: | finite groups minimal subgroups partial cover and avoidance property saturated formations |
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