On Certain Characterizations of Barely Transitive Groups

  • Ahmet Arikan

    Gazi University, Ankara, Turkey
  • Nadir Trabelsi

    Ferhat Abbas University, Setif, Algeria

Abstract

In the present work we study perfect barely transitive groups in which a point stabilizer has non-trivial Hirsch–Plotkin radical and give characterizations of these groups. We also prove that a perfect barely transitive group has two non-trivial proper subgroups which intersect trivially.

Cite this article

Ahmet Arikan, Nadir Trabelsi, On Certain Characterizations of Barely Transitive Groups. Rend. Sem. Mat. Univ. Padova 123 (2010), pp. 203–210

DOI 10.4171/RSMUP/123-10