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Item Details
| Title:
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SUBGROUP GROWTH
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| By: |
Alexander Lubotzky, Dan Segal |
| Format: |
Hardback |
| List price:
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£72.00 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3764369892 |
| ISBN 13: |
9783764369897 |
| Publisher: |
BIRKHAUSER VERLAG AG |
| Pub. date: |
1 April, 2003 |
| Series: |
Progress in Mathematics 212 |
| Pages: |
454 |
| Description: |
Studies the distribution of subgroups of finite index in a group as a function of the index. This book determines the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups. It focuses on the connection between the subgroup growth of a group and its algebraic structure. |
| Synopsis: |
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'. |
| Illustrations: |
XXII, 454 p. |
| Publication: |
Switzerland |
| Imprint: |
Birkhauser Verlag AG |
| Returns: |
Returnable |
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