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A question on partial CAP-subgroups of finite groups

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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.

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Authors and Affiliations

  1. Departament d’ Àlgebra, Universitat de València, Burjassot, 46100, València, Spain

    Adolfo Ballester-Bolinches

  2. Institut Universitari de Matemàtica Pura i Aplicada, Universitat Politècnica de València, València, 46022, Spain

    Ramón Esteban-Romero

  3. Department of Mathematics, Guangdong University of Education, Guangzhou, 510310, China

    YangMing Li

Authors
  1. Adolfo Ballester-Bolinches
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  2. Ramón Esteban-Romero
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  3. YangMing Li
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Correspondence to Adolfo Ballester-Bolinches.

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Ballester-Bolinches, A., Esteban-Romero, R. & Li, Y. A question on partial CAP-subgroups of finite groups. Sci. China Math. 55, 961–966 (2012). https://doi.org/10.1007/s11425-011-4356-9

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  • DOI: https://doi.org/10.1007/s11425-011-4356-9

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