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Locally Finite Barely Transitive Groups
Authors:V. V. Belyaev  M. Kuzucuoglu
Affiliation:(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.
Keywords:  IE1"  >  /content/t337u42343716722/10469_2004_Article_469352_TeX2GIFIE1.gif"   alt="     $$p$$   "   align="  middle"   border="  0"  >-group  locally finite group  barely transitive group  point stabilizer  transitive finitary permutation representation
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