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Zeta Functions of Groups and Rings - Marcus du Sautoy#Luke Woodward
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2007, ISBN: 9783540747017

ID: 200473389

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 The purpose of this book is to bring into print signi?cant and as yet unpublished work from three areas of the theory of zeta functions of groups.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. Zeta Functions of Groups and Rings Bücher > Fremdsprachige Bücher > Englische Bücher Taschenbuch 12.11.2007, Springer, .200

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Zeta Functions of Groups and Rings - Marcus du Sautoy#Luke Woodward
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Marcus du Sautoy#Luke Woodward:

Zeta Functions of Groups and Rings - neues Buch

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Zeta Functions of Groups and Rings 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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-540-74701-7, Springer

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Zeta Functions of Groups and Rings - Marcus du Sautoy
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Zeta Functions of Groups and Rings - Taschenbuch

ISBN: 9783540747017

ID: 9783540747017

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. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation. Zeta Functions of Groups and Rings: 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. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation. Zahlentheorie MATHEMATICS / Algebra / General MATHEMATICS / Group Theory MATHEMATICS / Number Theory, Springer-Verlag Gmbh

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Zeta Functions of Groups and Rings - Marcus du Sautoy, Luke Woodward
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Marcus du Sautoy, Luke Woodward:
Zeta Functions of Groups and Rings - neues Buch

ISBN: 9783540747017

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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 behavior of these functions together with an investigation of functional equations. The book examines many important examples of zeta functions, providing an important database of explicit examples and methods for calculation. Marcus du Sautoy, Luke Woodward, Books, Science and Nature, Zeta Functions of Groups and Rings Books>Science and Nature, Springer Berlin Heidelberg

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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. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation. Zeta Functions of Groups and Rings Woodward, Luke / Du Sautoy, Marcus, Springer

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Zeta Functions of Groups and Rings
Autor:

Sautoy, Marcus du; Woodward, Luke

Titel:

Zeta Functions of Groups and Rings

ISBN-Nummer:

9783540747017

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 behavior of these functions together with an investigation of functional equations. The book examines many important examples of zeta functions, providing an important database of explicit examples and methods for calculation.

Detailangaben zum Buch - Zeta Functions of Groups and Rings


EAN (ISBN-13): 9783540747017
ISBN (ISBN-10): 354074701X
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
212 Seiten
Gewicht: 0,348 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 29.10.2007 17:58:09
Buch zuletzt gefunden am 25.11.2016 20:01:53
ISBN/EAN: 9783540747017

ISBN - alternative Schreibweisen:
3-540-74701-X, 978-3-540-74701-7

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