The Double Transitivity of a Class of Permutation Groups

Author: Bercov, Ronald David

Year: 1962

Degree: Dissertation (Ph.D.)

Advisor: Hall, Marshall

Committee Member: Unknown, Unknown

Option: Mathematics

DOI: 10.7907/2T36-NC78

Abstract

In this thesis primitive finite permutation groups G with regular abelian subgroup H are studied. It is shown that if, for an odd prime p, H has a Sylow p-subgroup which is the direct product of two cyclic groups of different order, then G is doubly transitive.

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