On Primitive Groups of Odd Order: A Thesis, Presented to the University in Candidacy for the Degree of Doctor of Philosophy (Classic Reprint) - Brossura
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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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On Primitive Groups of Odd Order: A Thesis (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book observes primitive groups with an emphasis on those of odd order and expands on existing research on the subject by determining all primitive groups of odd order with a degree below 243. Many theorems the author presents apply to both even and odd primitive groups and can assist in determining all primitive groups of a given degree. The author also thoroughly examines primitive groups of order three and five and establishes a link between primitive groups and the metacyclic group. Through these examinations, the author finds more than 9 substitutions of degree less than n in any transitive group of degree n; shows there is no simple primitive group of odd composite order that is represented as a substitution group with a degree of less than 100; and delves into restrictions based on prime numbers and theorems connected with transitive constituents. By aiming to make a further study of primitive groups with a particular focus on those of odd order, this book becomes a valuable resource for mathematicians, especially those studying finite group theory. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781332883929_0
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On Primitive Groups of Odd Order A Thesis, Presented to the University in Candidacy for the Degree of Doctor of Philosophy Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332883929
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On Primitive Groups of Odd Order A Thesis, Presented to the University in Candidacy for the Degree of Doctor of Philosophy Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332883929
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