Rendiconti del Seminario Matematico della Università di Padova

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

Published online: 2010-06-30

On Certain Characterizations of Barely Transitive Groups

Ahmet Arikan[1] and Nadir Trabelsi[2]

(1) Gazi University, Ankara, Turkey
(2) Ferhat Abbas University, 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