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Subgroup Growth [Hardcover]

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Item description for Subgroup Growth by Alexander Lubotzky, Dan Segal & Akexabder Lubotzky...

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'.

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Item Specifications...

Pages   454
Est. Packaging Dimensions:   Length: 1" Width: 6" Height: 9"
Weight:   2.05 lbs.
Binding  Hardcover
Release Date   Jul 15, 2003
Publisher   Birkhäuser Basel
ISBN  3764369892  
ISBN13  9783764369897  

Availability  0 units.

More About Alexander Lubotzky, Dan Segal & Akexabder Lubotzky

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Product Categories

1Books > Special Features > New & Used Textbooks > Sciences > Mathematics > Algebra & Trigonometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Algebra > General
3Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
4Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
5Books > Subjects > Science > General
6Books > Subjects > Science > History & Philosophy > Science
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Pure Mathematics > Algebra > General
9Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory
10Books > Subjects > Science > Mathematics > Pure Mathematics > Number Theory

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