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GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  18 March 2020

M. DE FALCO ,
F. DE GIOVANNI  and
C. MUSELLA
M. DE FALCO
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, Napoli, Italy e-mail: mdefalco@unina.it
F. DE GIOVANNI
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, Napoli, Italy e-mail: degiovan@unina.it
C. MUSELLA
Affiliation:
Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Via Cintia, Napoli, Italy e-mail: cmusella@unina.it
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Abstract

This paper continues the investigation of the structure of uncountable groups whose large subgroups are normal. Moreover, we describe the behaviour of uncountable groups in which every large subgroup is close to normal with the only obstruction of a finite section.

Keywords

uncountable groupnormal subgroup

MSC classification

Primary: 20F24: FC-groups and their generalizations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 111 , Issue 2 , October 2021 , pp. 268 - 277
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Copyright
© 2020 Australian Mathematical Publishing Association Inc.

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Footnotes

Communicated by B. Martin

Dedicated to Leonid A. Kurdachenko on the occasion of his 70th birthday

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