A+ CATEGORY SCIENTIFIC UNIT

Groups satisfying the maximal condition on subnormal non-normal subgroups

Volume 103 / 2005

Fausto De Mari, Francesco de Giovanni Colloquium Mathematicum 103 (2005), 85-98 MSC: 20E15, 20F22. DOI: 10.4064/cm103-1-10

Abstract

The structure of (generalized) soluble groups for which the set of all subnormal non-normal subgroups satisfies the maximal condition is described, taking as a model the known theory of groups in which normality is a transitive relation.

Authors

  • Fausto De MariDipartimento di Matematica e Applicazioni
    Università di Napoli Federico II
    Complesso Universitario Monte S. Angelo
    Via Cintia
    I-80126 Napoli, Italy
    e-mail
  • Francesco de GiovanniDipartimento di Matematica e Applicazioni
    Università di Napoli Federico II
    Complesso Universitario Monte S. Angelo
    Via Cintia
    I-80126 Napoli, Italy
    e-mail

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