(1) Krasnoyarsk State University, Svobodnyi Prospekt 79, Krasnoyarsk, 660041, Russia;(2) Department of Mathematics, Middle East Technical University, Ankara, 06531, Turkey
Abstract:
Infinite transitive permutation groups all proper subgroups of which have just finite orbits are treated. Under the extra condition of being locally finite, such groups are proved to be primary, and, moreover, soluble if the stabilizer of some point is soluble.