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GROUPS OF INFINITE RANK WITH NORMALITY CONDITIONS ON SUBGROUPS WITH SMALL NORMAL CLOSURE

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

Published online by Cambridge University Press:  11 November 2015

ANNA VALENTINA DE LUCA  and
GIOVANNA DI GRAZIA
ANNA VALENTINA DE LUCA*
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, I 80126 Napoli, Italy email [email protected]
GIOVANNA DI GRAZIA
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, I 80126 Napoli, Italy email [email protected]
*
✉[email protected]
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Abstract

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Groups of infinite rank in which every subgroup is either normal or contranormal are characterised in terms of their subgroups of infinite rank.

Keywords

infinite rankcontranormal subgrouplocally graded group

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 94 , Issue 1 , August 2016 , pp. 48 - 53
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

References

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