English

On Logically Cyclic Groups

Group Theory 2014-12-09 v5

Abstract

A group GG is called logically cyclic, if it contains an element ss such that every element of GG can be defined by a first order formula with parameter ss. The aim of this paper is to investigate the structure of such groups.

Keywords

Cite

@article{arxiv.1406.7621,
  title  = {On Logically Cyclic Groups},
  author = {M. Shahryari},
  journal= {arXiv preprint arXiv:1406.7621},
  year   = {2014}
}

Comments

Final modifications, Revised; Journal of Group Theory, 2014

R2 v1 2026-06-22T04:50:52.206Z