Permutation Groups and Cartesian Decompositions

·
· London Mathematical Society Lecture Note Series āļŦāļ™āļąāļ‡āļŠāļ·āļ­āđ€āļĨāđˆāļĄāļ—āļĩāđˆ 449 · Cambridge University Press
eBook
338
āļŦāļ™āđ‰āļē
āļ„āļ°āđāļ™āļ™āđāļĨāļ°āļĢāļĩāļ§āļīāļ§āđ„āļĄāđˆāđ„āļ”āđ‰āļĢāļąāļšāļāļēāļĢāļ•āļĢāļ§āļˆāļŠāļ­āļšāļĒāļ·āļ™āļĒāļąāļ™ Â āļ”āļđāļ‚āđ‰āļ­āļĄāļđāļĨāđ€āļžāļīāđˆāļĄāđ€āļ•āļīāļĄ

āđ€āļāļĩāđˆāļĒāļ§āļāļąāļš eBook āđ€āļĨāđˆāļĄāļ™āļĩāđ‰

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 introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.

āđ€āļāļĩāđˆāļĒāļ§āļāļąāļšāļœāļđāđ‰āđāļ•āđˆāļ‡

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.

āđƒāļŦāđ‰āļ„āļ°āđāļ™āļ™ eBook āļ™āļĩāđ‰

āđāļŠāļ”āļ‡āļ„āļ§āļēāļĄāđ€āļŦāđ‡āļ™āļ‚āļ­āļ‡āļ„āļļāļ“āđƒāļŦāđ‰āđ€āļĢāļēāļĢāļąāļšāļĢāļđāđ‰

āļ‚āđ‰āļ­āļĄāļđāļĨāđƒāļ™āļāļēāļĢāļ­āđˆāļēāļ™

āļŠāļĄāļēāļĢāđŒāļ—āđ‚āļŸāļ™āđāļĨāļ°āđāļ—āđ‡āļšāđ€āļĨāđ‡āļ•
āļ•āļīāļ”āļ•āļąāđ‰āļ‡āđāļ­āļ› Google Play Books āļŠāļģāļŦāļĢāļąāļš Android āđāļĨāļ° iPad/iPhone āđāļ­āļ›āļˆāļ°āļ‹āļīāļ‡āļ„āđŒāđ‚āļ”āļĒāļ­āļąāļ•āđ‚āļ™āļĄāļąāļ•āļīāļāļąāļšāļšāļąāļāļŠāļĩāļ‚āļ­āļ‡āļ„āļļāļ“ āđāļĨāļ°āļŠāđˆāļ§āļĒāđƒāļŦāđ‰āļ„āļļāļ“āļ­āđˆāļēāļ™āđāļšāļšāļ­āļ­āļ™āđ„āļĨāļ™āđŒāļŦāļĢāļ·āļ­āļ­āļ­āļŸāđ„āļĨāļ™āđŒāđ„āļ”āđ‰āļ—āļļāļāļ—āļĩāđˆ
āđāļĨāđ‡āļ›āļ—āđ‡āļ­āļ›āđāļĨāļ°āļ„āļ­āļĄāļžāļīāļ§āđ€āļ•āļ­āļĢāđŒ
āļ„āļļāļ“āļŸāļąāļ‡āļŦāļ™āļąāļ‡āļŠāļ·āļ­āđ€āļŠāļĩāļĒāļ‡āļ—āļĩāđˆāļ‹āļ·āđ‰āļ­āļˆāļēāļ Google Play āđ‚āļ”āļĒāđƒāļŠāđ‰āđ€āļ§āđ‡āļšāđ€āļšāļĢāļēāļ§āđŒāđ€āļ‹āļ­āļĢāđŒāđƒāļ™āļ„āļ­āļĄāļžāļīāļ§āđ€āļ•āļ­āļĢāđŒāđ„āļ”āđ‰
eReader āđāļĨāļ°āļ­āļļāļ›āļāļĢāļ“āđŒāļ­āļ·āđˆāļ™āđ†
āļŦāļēāļāļ•āđ‰āļ­āļ‡āļāļēāļĢāļ­āđˆāļēāļ™āļšāļ™āļ­āļļāļ›āļāļĢāļ“āđŒ e-ink āđ€āļŠāđˆāļ™ Kobo eReader āļ„āļļāļ“āļˆāļ°āļ•āđ‰āļ­āļ‡āļ”āļēāļ§āļ™āđŒāđ‚āļŦāļĨāļ”āđāļĨāļ°āđ‚āļ­āļ™āđ„āļŸāļĨāđŒāđ„āļ›āļĒāļąāļ‡āļ­āļļāļ›āļāļĢāļ“āđŒāļ‚āļ­āļ‡āļ„āļļāļ“ āđ‚āļ›āļĢāļ”āļ—āļģāļ•āļēāļĄāļ§āļīāļ˜āļĩāļāļēāļĢāļ­āļĒāđˆāļēāļ‡āļĨāļ°āđ€āļ­āļĩāļĒāļ”āđƒāļ™āļĻāļđāļ™āļĒāđŒāļŠāđˆāļ§āļĒāđ€āļŦāļĨāļ·āļ­āđ€āļžāļ·āđˆāļ­āđ‚āļ­āļ™āđ„āļŸāļĨāđŒāđ„āļ›āļĒāļąāļ‡ eReader āļ—āļĩāđˆāļĢāļ­āļ‡āļĢāļąāļš