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Zeta Functions of Groups and Rings (Lecture Notes in Mathematics)
Sautoy, Marcus, Woodward, Luke
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Description for Zeta Functions of Groups and Rings (Lecture Notes in Mathematics)
Paperback. Zeta functions have been a powerful tool in mathematics. This book considers a fresh class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. It explores the analytic behaviour of these functions together with an investigation of functional equations. Series: Lecture Notes in Mathematics. Num Pages: 212 pages, 10 black & white tables, biography. BIC Classification: PBF; PBG. Category: (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 236 x 163 x 13. Weight in Grams: 336.
Thestudyofthesubgroupgrowthofin?nitegroupsisanareaofmathematical research that has grown rapidly since its inception at the Groups St. Andrews conferencein1985.Ithasbecomearichtheoryrequiringtoolsfromandhaving applications to many areas of group theory. Indeed, much of this progress is chronicled by Lubotzky and Segal within their book [42]. However, one area within this study has grown explosively in the last few years. This is the study of the zeta functions of groups with polynomial s- groupgrowth,inparticularfortorsion-free?nitely-generatednilpotentgroups. These zeta functions were introduced in [32], and other key papers in the - velopment of this subject include [10, 17], with [19, 23, 15] as well as [42] presenting surveys of the area. The ... Read more
Thestudyofthesubgroupgrowthofin?nitegroupsisanareaofmathematical research that has grown rapidly since its inception at the Groups St. Andrews conferencein1985.Ithasbecomearichtheoryrequiringtoolsfromandhaving applications to many areas of group theory. Indeed, much of this progress is chronicled by Lubotzky and Segal within their book [42]. However, one area within this study has grown explosively in the last few years. This is the study of the zeta functions of groups with polynomial s- groupgrowth,inparticularfortorsion-free?nitely-generatednilpotentgroups. These zeta functions were introduced in [32], and other key papers in the - velopment of this subject include [10, 17], with [19, 23, 15] as well as [42] presenting surveys of the area. The ... Read more
Product Details
Format
Paperback
Publication date
2007
Publisher
Springer
Condition
New
Series
Lecture Notes in Mathematics
Number of Pages
212
Place of Publication
Berlin, Germany
ISBN
9783540747017
SKU
V9783540747017
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Zeta Functions of Groups and Rings (Lecture Notes in Mathematics)
From the reviews: "The book starts with a short lovely description of several classical zeta function … . It also contains a large number of examples of groups for which these zeta functions were explicitly computed. … it certainly will be a basic text for anyone who plans to work in this area. … These surely will ... Read more