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Locally finite barely transitive groups. (Russian) Zbl 1033.20001
Algebra Logika 42, No. 3, 261-270 (2003); translation in Algebra Logic 42, No. 3, 147-152 (2003).
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.

MSC:
20B22 Multiply transitive infinite groups
20B07 General theory for infinite permutation groups
20F50 Periodic groups; locally finite groups
20E25 Local properties of groups
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