9781332883929 - On Primitive Groups of Odd Order: A Thesis, Presented to the University in Candidacy for the Degree of Doctor of Philosophy (Classic Reprint) di Rietz, Henry Lewis (3 risultati)

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

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.