Buch. Etat : Neu. 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 r�f. du vendeur 9783764369897

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Subgroup Growth

Dan Segal

Edit� par Birkh�user Basel, 2003

ISBN 10 : 3764369892 ISBN 13 : 9783764369897

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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'. N� de r�f. du vendeur 9783764369897

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Subgroup Growth

Alexander Lubotzky|Dan Segal

Edit� par Birkh�user Basel, 2003

ISBN 10 : 3764369892 ISBN 13 : 9783764369897

Neuf Couverture rigide

impression � la demande

Vendeur : moluna, Greven, Allemagne

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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Awarded with the Ferran Sunyer i Balaguer Prize 2002Presents a new kind of non-commutative arithmetic , with applications to the study of lattices in Lie groupsIntroduces subgroup-counting zeta functions which have remarkable applications . N� de r�f. du vendeur 151529386

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