Locally Finite Barely Transitive Permutation Group with Almost Nilpotent Point Stabilizers

Authors: MAHMUT KUZUCUOĞLU

Abstract: We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices |H : H \cap H^g| (g \in G) have a finite upper bound.

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