| 書目名稱 | Subgroup Growth | | 編輯 | Alexander Lubotzky,Dan Segal | | 視頻video | http://file.papertrans.cn/882/881267/881267.mp4 | | 概述 | Awarded with the Ferran Sunyer i Balaguer Prize 2002.Presents a new kind of ‘non-commutative arithmetic‘, with applications to the study of lattices in Lie groups.Introduces subgroup-counting zeta fun | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | .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‘.. | | 出版日期 | Book 2003 | | 關鍵詞 | Abelian group; Algebra; Algebraic structure; Group theory; Prime; cls; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8965-0 | | isbn_softcover | 978-3-0348-9846-1 | | isbn_ebook | 978-3-0348-8965-0Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkh?user Verlag 2003 |
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