On the structure of braces whose subideals are ideals
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.
math.RA↗
arXiv subjects
Martyn R. Dixon
Publications and source records attributed to Martyn R. Dixon.
On the structure of some one-generator nilpotent braces
This article provides a detailed description of some nilpotent left braces generated by one element.
math.GR↗
Locally graded groups with all non-nilpotent subgroups permutable, II
Let $G$ be a locally graded group and suppose that every non-nilpotent subgroup of $G$ is permutable. We prove that $G$ is soluble. (In light of previous results of the authors, it suffices to prove that $G$ is soluble if it is periodic.
math.GR↗
On the structure of some contranormal-free groups
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.
math.GR↗