Subgroup Growth is popular PDF and ePub book, written by Alexander Lubotzky in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Subgroup Growth can be Read Online from any device for your convenience.
Subgroup Growth Book PDF Summary
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'.
Detail Book of Subgroup Growth PDF
- Author : Alexander Lubotzky
- Release : 06 December 2012
- Publisher : Birkhäuser
- ISBN : 9783034889650
- Genre : Mathematics
- Total Page : 463 pages
- Language : English
- PDF File Size : 16,9 Mb
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