Permutation Groups and Cartesian Decompositions by Cheryl E. Praeger - ISBN: 9780521675062
Paperback
The theory of permutation groups has a wide range of applications including combinatorics, graph theory, computer science, theoretical physics and molecular chemistry. This book introduces topics that will appeal to students and researchers who require knowledge of permutation group theory for their…

Permutation Groups and Cartesian Decompositions

$213.01

  • Paperback

    334 pages

  • Release Date

    3 May 2018

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Summary

Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O’Nan–Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the …

Book Details

ISBN-13:9780521675062
ISBN-10:0521675065
Author:Cheryl E. Praeger, Csaba Schneider
Publisher:Cambridge University Press
Imprint:Cambridge University Press
Format:Paperback
Number of Pages:334
Release Date:3 May 2018
Weight:500g
Dimensions:227mm x 151mm x 20mm
Series:London Mathematical Society Lecture Note Series
What They're Saying

Critics Review

‘This is a thorough reference book that consists of three parts … In summary, the book is an impressive collection of theorems and their proofs.’ Miklós Bóna, MAA Reviews‘One of the most important achievements of this book is building the first formal theory on G-invariant cartesian decompositions; this brings to the fore a better knowledge of the O’Nan–Scott theorem for primitive, quasiprimitive, and innately transitive groups, together with the embeddings among these groups. This is a valuable, useful, and beautiful book.’ Pablo Spiga, Mathematical Reviews

About The Author

Cheryl E. Praeger

Cheryl E. Praeger is Emeritus Professor at the Centre for the Mathematics of Symmetry and Computation at the University of Western Australia, Perth. She is an Honorary Life Member of the Australian Mathematical Society, and was its first female President. She has authored more than 400 research publications, including five books. Besides holding honorary doctorates awarded by universities in Thailand, Iran, Belgium, Scotland, and Australia, she is also a member of the Order of Australia for her service to mathematics in Australia. Csaba Schneider is Professor in the Maths Department at the Federal University of Minas Gerais, Brazil. He has held research positions at the University of Western Australia, Perth, the Technical University of Braunschweig, the Hungarian Academy of Sciences, and the University of Lisbon. His mathematical interests include finite group theory, the theory of non-associative algebras, and computational algebra.

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