GROUPS WITH NORMALITY CONDITIONS FOR UNCOUNTABLE SUBGROUPS

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.

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Bibliographic Details
Published in:Journal of the Australian Mathematical Society (2001) 2021-10, Vol.111 (2), p.268-277
Main Authors: DE FALCO, M., DE GIOVANNI, F., MUSELLA, C.
Format: Article
Language:English
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Subgroups
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Summary: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.
ISSN:1446-7887
1446-8107
DOI:10.1017/S1446788720000038