Lower Central And Dimension Series Of Groups
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Lower Central And Dimension Series Of Groups
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Author : Roman Mikhailov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009
Lower Central And Dimension Series Of Groups written by Roman Mikhailov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
A fundamental object of study in group theory is the lower central series of groups. Understanding its relationship with the dimension series is a challenging task. This monograph presents an exposition of different methods for investigating this relationship.
Knots Groups And 3 Manifolds
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Author : Ralph Hartzler Fox
language : en
Publisher: Princeton University Press
Release Date : 1975-08-21
Knots Groups And 3 Manifolds written by Ralph Hartzler Fox and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975-08-21 with Mathematics categories.
There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds.
Computational And Geometric Aspects Of Modern Algebra
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Author : Michael Atkinson
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-15
Computational And Geometric Aspects Of Modern Algebra written by Michael Atkinson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-15 with Mathematics categories.
A collection of papers from leading researchers in algebra and geometric group theory.
Infinite Groups 1994
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Author : Francesco Giovanni
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-03-06
Infinite Groups 1994 written by Francesco Giovanni and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-06 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
New Horizons In Pro P Groups
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Author : Marcus du Sautoy
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-05-25
New Horizons In Pro P Groups written by Marcus du Sautoy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-25 with Mathematics categories.
A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.
Higher Dimensional Complex Varieties
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Author : Marco Andreatta
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-20
Higher Dimensional Complex Varieties written by Marco Andreatta and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-20 with Mathematics categories.
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.
Recent Advances In Group Theory And Low Dimensional Topology
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Author : Jens L. Mennicke
language : en
Publisher:
Release Date : 2003
Recent Advances In Group Theory And Low Dimensional Topology written by Jens L. Mennicke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Free groups categories.
Donaldson Type Invariants For Algebraic Surfaces
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Author : Takuro Mochizuki
language : en
Publisher: Springer
Release Date : 2009-04-20
Donaldson Type Invariants For Algebraic Surfaces written by Takuro Mochizuki and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-20 with Mathematics categories.
In this monograph, we de?ne and investigate an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We may expect the existence of interesting “universal relations among invariants”, which would be a natural generalization of the “wall-crossing formula” and the “Witten conjecture” for classical Donaldson invariants. Our goal is to obtain a weaker version of such relations, in other brief words, to describe a relation as the sum of integrals over the products of m- uli spaces of objects with lower ranks. Fortunately, according to a recent excellent work of L. Gottsche, ̈ H. Nakajima and K. Yoshioka, [53], a wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case. We hope that our work in this monograph would, at least tentatively, provides a part of foundation for the further study on such universal relations. In the rest of this preface, we would like to explain our motivation and some of important ingredients of this study. See Introduction for our actual problems and results. Donaldson Invariants Let us brie?y recall Donaldson invariants. We refer to [22] for more details and precise. We also refer to [37], [39], [51] and [53]. LetX be a compact simply con- ? nected oriented real 4-dimensional C -manifold with a Riemannian metric g. Let P be a principalSO(3)-bundle on X.
Sobolev Gradients And Differential Equations
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Author : John Neuberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-01
Sobolev Gradients And Differential Equations written by John Neuberger and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-01 with Mathematics categories.
A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form. Most of the applications in this book have emerged since the first edition was published some twelve years ago. What remains of the first edition has been extensively revised. There are a number of plots of results from calculations and a sample MatLab code is included for a simple problem. Those working through a fair portion of the material have in the past been able to use the theory on their own applications and also gain an appreciation of the possibility of a rather comprehensive point of view on the subject of partial differential equations.
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups
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Author : John N. Bray
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-25
The Maximal Subgroups Of The Low Dimensional Finite Classical Groups written by John N. Bray and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-25 with Mathematics categories.
Classifies the maximal subgroups of the finite groups of Lie type up to dimension 12, using theoretical and computational methods.