Doubly transitive permutation groups with Abelian stabilizers (Q916775)

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scientific article; zbMATH DE number 4154696
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Doubly transitive permutation groups with Abelian stabilizers
scientific article; zbMATH DE number 4154696

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    Doubly transitive permutation groups with Abelian stabilizers (English)
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    1990
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    The authors give an elementary proof that the doubly transitive groups with Abelian stabilizers are the linear groups over commutative fields. The reviewer likes to add, that a thorough discussion of the more general cases can be found in [\textit{H. Wähling}, Theorie der Fastkörper (Thales Verlag, Essen 1987; Zbl 0669.12014)].
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    doubly transitive groups
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    Abelian stabilizers
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    linear groups
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