ISBN: 9783540747017 - zeta functions of groups and rings: 1925 (9 risultati)

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Gebundene Ausgabe, Gr.-8°. Condizione: Gut. 2008. 224 S. Das Buch ist in gutem, sauberen Zustand. Einband minimal berieben. Ecken und Kanten minimal bestossen. Aufkleberrest auf hinterem innenDeckel. Sonst sauberes und wohlerhaltenes Exemplar. -----Inhalt. 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 The purpose of this book is to bring into print signi?cant and as yet unpublished work from three areas of the theory of zeta functions of groups. First, there are now numerous calculations of zeta functions of groups by doctoralstudentsofthe?rstauthorwhichareyettobemadeintoprintedform outside their theses. These explicit calculations provide evidence in favour of conjectures, or indeed can form inspiration and evidence for new conjectures. We record these zeta functions in Chap.2. In particular, we document the functional equations frequently satis?ed by the local factors. Explaining this phenomenon is, according to the ?rst author and Segal [23], "one of the most intriguing open problems in the area". Nilpotent Groups: Explicit Examples.- Soluble Lie Rings.- Local Functional Equations.- Natural Boundaries I: Theory.- Natural Boundaries II: Algebraic Groups.- Natural Boundaries III: Nilpotent Groups. ISBN: 9783540747017 Due to new EU packaging regulations, we are currently unable to ship to many EU countries. Shipping to Germany, the Netherlands, Ireland, Finland, and the Baltic states is possible. Deliveries to border-based parcel lockers or cross-border parcel forwarding services remain possible. Shipping to all countries outside the EU also remains possible. Sprache: Englisch Gewicht in Gramm: 1050. …

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Brossura. Condizione: fine. Heidelberg, 2007; pp. 208. Libro.

Condizione: New. In English.

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Kartoniert / Broschiert. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. It explores the analytic behavio.…