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math.GR2025
On the structure of some one-generator nilpotent braces
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
This article provides a detailed description of some nilpotent left braces generated by one element.
math.GR2021
On the structure of some contranormal-free groups
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
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…