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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
FAUSTO DE MARI
Journal:

Bulletin of the Australian Mathematical Society / Volume 105 / Issue 2 / April 2022

Published online by Cambridge University Press:

18 June 2021, pp. 286-295

Print publication:

April 2022
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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.

GROUPS OF INFINITE RANK WITH NORMALITY CONDITIONS ON SUBGROUPS WITH SMALL NORMAL CLOSURE
Part of
- Special aspects of infinite or finite groups
- Structure and classification of infinite or finite groups
ANNA VALENTINA DE LUCA, GIOVANNA DI GRAZIA
Journal:

Bulletin of the Australian Mathematical Society / Volume 94 / Issue 1 / August 2016

Published online by Cambridge University Press:

11 November 2015, pp. 48-53

Print publication:

August 2016
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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.