Rendiconti del Seminario Matematico della Università di Padova


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Volume 123, 2010, pp. 203–210
DOI: 10.4171/RSMUP/123-10

On Certain Characterizations of Barely Transitive Groups

Ahmet Arikan[1] and Nadir Trabelsi[2]

(1) Department of Mathematics, Gazi University, Teknikokullar, 06500, Ankara, Turkey
(2) Department of Mathematics, Ferhat Abbas University, 19000, Setif, Algeria

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.

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Arikan Ahmet, Trabelsi Nadir: On Certain Characterizations of Barely Transitive Groups. Rend. Sem. Mat. Univ. Padova 123 (2010), 203-210. doi: 10.4171/RSMUP/123-10