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ON GROUPS WHOSE SUBGROUPS ARE EITHER MODULAR OR CONTRANORMAL

Part of: Structure and classification of infinite or finite groups Special aspects of infinite or finite groups

Published online by Cambridge University Press:  18 June 2021

FAUSTO DE MARI Open the ORCID record for FAUSTO DE MARI [Opens in a new window]
FAUSTO DE MARI*
Affiliation:
Università degli Studi di Napoli Federico II, 80126, Naples, Italy
*
e-mail: [email protected]
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Abstract

A subgroup H of a group G is said to be contranormal in G if the normal closure of H in G is equal to G. In this paper, we consider groups whose nonmodular subgroups (of infinite rank) are contranormal.

Keywords

locally soluble groupcontranormal subgroupmodular subgrouppermutable subgroupinfinite rank

MSC classification

Primary: 20E15: Chains and lattices of subgroups, subnormal subgroups
Secondary: 20F19: Generalizations of solvable and nilpotent groups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 105 , Issue 2 , April 2022 , pp. 286 - 295
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Copyright
© 2021 Australian Mathematical Publishing Association Inc.

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