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GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS

Published online by Cambridge University Press:  18 March 2020

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

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.

Type
Research Article
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

References

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