Permutation groups and cartesian decompositions

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 prim...

• Main Author: Praeger, Cheryl E. 1948-
• Other Authors: Schneider, Csaba
• Format: Book
• Language: English
• Published: Cambridge: Cambridge University Press, 2018.
• Series: London Mathematical Society. Lecture note series, v. 449
• Subjects: Permutation groups; Algebra; Cartesian decompositions; Transitive groups
• Online Access: Texto completo

Table of Contents:

• Introduction
• Group actions and permutation groups
• Minimal normal subgroups of transitive permutation groups
• Finite direct products of groups
• Wreath products
• Twisted wreath products
• O’Nan–Scott theory and the maximal subgroups of finite alternating and symmetric groups
• Cartesian factorisations
• Transitive cartesian decompositions for innately transitive groups
• Intransitive cartesian decompositions
• Applications in permutation group theory
• Applications to graph theory