English

An ${\cal E}$-lattice structure associated to some classes of finite groups

Group Theory 2018-11-13 v1

Abstract

In the present paper we introduce and study a canonical E{\cal E}-lattice structure on the set of element orders of some finite groups. We show that a finite abelian group is uniquely determined by this canonical E{\cal E}-lattice.

Keywords

Cite

@article{arxiv.1811.04561,
  title  = {An ${\cal E}$-lattice structure associated to some classes of finite groups},
  author = {Marius Tărnăuceanu},
  journal= {arXiv preprint arXiv:1811.04561},
  year   = {2018}
}