Subgroup Growth

Dan Segal

ISBN 10: 3764369892 / ISBN 13: 9783764369897

Edité par Birkhäuser Basel Apr 2003, 2003

A propos de cet article

This item is printed on demand - it takes 3-4 days longer - Neuware -Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001.Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged.As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'. 480 pp. Englisch.

N° de réf. du vendeur 9783764369897

Détails bibliographiques

• Titre: Subgroup Growth
• Éditeur: Birkhäuser Basel Apr 2003
• Date de parution: 2003
• Langue: anglais
• ISBN à 10 chiffres: 3764369892
• ISBN à 13 chiffres: 9783764369897
• Reliure: Buch
• État de l'article: Neu
• Dimensions: 241 L x 160 H x 32 P (en millimètres) 241 millimètres de largeur par 160 millimètres de hauteur par 32 millimètres de profondeur
• Poids: 881 grammes

A propos de ce titre

Synopsis

Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged.
As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure.
A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows', making the book accessible to a wide mathematical readership.