4 papers
On the structure of braces whose subideals are ideals
Martyn R. Dixon, Leonid A. Kurdachenko, Igor Ya. Subbotin
This article begins the study of T-braces, those skew left braces of abelian type in which the relation of being an ideal is a transitive relation.
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.
Locally graded groups with all non-nilpotent subgroups permutable, II
Sevgi Atlihan, Martyn R. Dixon, Martin J. Evans
Let be a locally graded group and suppose that every non-nilpotent subgroup of is permutable. We prove that is soluble. (In light of previous results of the authors, it…
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…