Finite groups in which normality, permutability or Sylow permutability is transitive

Izabela Agata Malinowska

doi:10.2478/auom-2014-0055

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Finite groups in which normality, permutability or Sylow permutability is transitive

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 22 (2014): Issue 3 (September 2014)

By: Izabela Agata Malinowska

Open Access

|Dec 2015

Abstract

Y. Li gave a characterization of the class of finite soluble groups in which every subnormal subgroup is normal by means of NE-subgroups: a subgroup H of a group G is called an NE-subgroup of G if N_G(H) ∩ H^G = H. We obtain a new characterization of these groups related to the local Wielandt subgroup. We also give characterizations of the classes of finite soluble groups in which every subnormal subgroup is permutable or Sylow permutable in terms of NE-subgroups.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2014-0055 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 137 - 146

Submitted on: Apr 10, 2013

Accepted on: Oct 14, 2013

Published on: Dec 22, 2015

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

NE-subgroup,

T-group,

PT-group,

PST-group,

local Wielandt subgroup

Related subjects:

Mathematics,

General mathematics

© 2015 Izabela Agata Malinowska, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 22 (2014): Issue 3 (September 2014)