English

On groups whose subnormal abelian subgroups are normal

Group Theory 2021-12-07 v1

Abstract

In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical. The description of hyperabelian Lie algebras, whose abelian subideals are ideals, is also obtained.

Keywords

Cite

@article{arxiv.2112.03049,
  title  = {On groups whose subnormal abelian subgroups are normal},
  author = {Leonid A. Kurdachenko and Javier Otal and Igor Ya. Subbotin},
  journal= {arXiv preprint arXiv:2112.03049},
  year   = {2021}
}