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## On primitive solvable permutation groups with commutative stabilizer of a point. II. (Russian)

Authors: Shchukin K. K.

### Abstract

Let \$\Theta\$ be the stabilizer of point in the primitive subgroup \$H\$ of the symmetric group \$S(E)\$. If \$\Theta\$ contains a normal abelian subgroup \$\Gamma\$ acting as an irreducible subgroup on the normal abelian subgroup \$T \not= 1\$ of \$H\$, then \$H\$ is conjugated in \$S(E)\$ to the subgroup of the complete affinne grope of some field. In particular, \$\Theta\$ can be a splitting extension of \$\Gamma\$. The way of enumerating is proposed for the finite groups with this property.

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