The Finite Simple Groups

Wilson, Robert A.

ISBN 10: 1848009879 / ISBN 13: 9781848009875

Edité par Springer, London, 2009

A propos de cet article

'The Finite Simple Groups' by Robert A. Wilson (Queen Mary, University of London). Springer, Graduate Texts in Mathematics 251, 2009. A graduate-level survey of the finite simple groups and their classification - the alternating, classical, exceptional and sporadic groups. Yellow Springer hardcover (GTM laminated boards, issued without dust jacket). Bright, glossy boards; clean and unmarked. A Very Good copy.

N° de réf. du vendeur ABE-1780246353092

Détails bibliographiques

• Titre: The Finite Simple Groups
• Éditeur: Springer, London
• Date de parution: 2009
• Langue: anglais
• ISBN à 10 chiffres: 1848009879
• ISBN à 13 chiffres: 9781848009875
• Reliure: Couverture rigide
• Édition: Edition originale
• Impression: 1er tirage
• État de l'article: Assez bon
• Dimensions: 16 L x 24 H x 2 P (centimètres) 16 centimètres de largeur par 24 centimètres de hauteur par 2 centimètres de profondeur
• Poids: 624 grammes
• Catalogues du vendeur:
  • Mathematics

A propos de ce titre

Synopsis

Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19].

Présentation de l'éditeur

The finite simple groups are the building blocks from which all the finite groups are made and as such they are objects of fundamental importance throughout mathematics. The classification of the finite simple groups was one of the great mathematical achievements of the twentieth century, yet these groups remain difficult to study which hinders applications of the classification. This textbook brings the finite simple groups to life by giving concrete constructions of most of them, sufficient to illuminate their structure and permit real calculations both in the groups themselves and in the underlying geometrical or algebraic structures. This is the first time that all the finite simple groups have been treated together in this way and the book points out their connections, for example between exceptional behaviour of generic groups and the existence of sporadic groups, and discusses a number of new approaches to some of the groups. Many exercises of varying difficulty are provided.