On Primitive Groups of Odd Order: A Thesis, Presented to the University in Candidacy for the Degree of Doctor of Philosophy (Classic Reprint) - Softcover

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Excerpt from On Primitive Groups of Odd Order: A Thesis, Presented to the University in Candidacy for the Degree of Doctor of Philosophy

Since any primitive group of odd order is simply transitive, a study of simply transitive primitive groups may throw light on the question of simple groups of odd order. Some important properties of simply transitive primitive groups have been given by Jordan, Miller, and Burnside}: The main objects of the present paper are; first, to make a further study of primitive groups with special reference to those of odd order; secondly, to extend the determination of the primitive groups of odd order to all degrees less than 243.

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