From Error-correcting Codes Through Sphere Packings to Simple Groups - Couverture souple

Thompson, Thomas M.

Couverture souple

ISBN 10 : 1470454602 ISBN 13 : 9781470454609

Editeur : American Mathematical Society, 1983

Synopsis

This book traces a remarkable path of mathematical connections through seemingly disparate topics. Frustrations with a 1940's electro-mechanical computer at a premier research laboratory begin this story. Subsequent mathematical methods of encoding messages to ensure correctness when transmitted over noisy channels lead to discoveries of extremely efficient lattice packings of equal-radius balls, especially in 24-dimensional space. In turn, this highly symmetric lattice, with each point neighboring exactly 196,560 other points, suggested the possible presence of new simple groups as groups of symmetries. Indeed, new groups were found and are now part of the ""Enormous Theorem""--the classification of all simple groups whose entire proof runs some 10,000+ pages--and these connections, along with the fascinating history and the proof of the simplicity of one of those ""sporatic"" simple groups, are presented at an undergraduate mathematical level.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 1983
• Langue: anglais
• ISBN 10: 1470454602
• ISBN 13: 9781470454609
• Reliure: Broché
• Nombre de pages: 228
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible