On the structure of some contranormal-free groups

Martyn R. Dixon; Leonid A. Kurdachenko; Igor Ya. Subbotin

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arXiv · 2104.05811

On the structure of some contranormal-free groups

Martyn R. Dixon·Leonid A. Kurdachenko·Igor Ya. Subbotin

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Abstract

A subgroup of a group is contranormal if its normal closure coincides with the group. We call such groups without proper contranormal subgroups contranormal-free. In this paper we prove various results concerning contranormal-free groups proving, for example that locally generalized radical contranormal-free groups which have finite section rank are hypercentral.

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Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin. 2021-04-12. On the structure of some contranormal-free groups. https://arxiv.org/abs/2104.05811

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