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Permutation Groups and Cartesian Decompositions

Cheryl E Praeger, Csaba Schneider
Livre broché | Anglais | London Mathematical Society Lecture Note | n° 449
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Description

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.

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Parties prenantes

Auteur(s) :
Editeur:

Contenu

Nombre de pages :
334
Langue:
Anglais
Collection :
Tome:
n° 449

Caractéristiques

EAN:
9780521675062
Date de parution :
03-05-18
Format:
Livre broché
Format numérique:
Trade paperback (VS)
Dimensions :
151 mm x 228 mm
Poids :
503 g

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