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 Am 84 Volume 84
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Author : Lee Paul Neuwirth
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Knots Groups And 3 Manifolds Am 84 Volume 84 written by Lee Paul Neuwirth 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 2016-03-02 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.
The Mathematical Legacy Of Wilhelm Magnus Groups Geometry And Special Functions
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Author : William Abikoff
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
The Mathematical Legacy Of Wilhelm Magnus Groups Geometry And Special Functions written by William Abikoff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
Wilhelm Magnus was an extraordinarily creative mathematician who made fundamental contributions to diverse areas, including group theory, geometry and special functions. This book contains the proceedings of a conference held in May 1992 at Polytechnic University, Brooklyn to honour the memory of Magnus. The focus of the book is on active areas of research where Magnus' influence can be seen. The papers range from expository articles to major new research, bringing together seemingly diverse topics and providing entry points to a variety of areas of mathematics.
Group Rings And Their Augmentation Ideals
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Author : I.B.S. Passi
language : en
Publisher: Springer
Release Date : 2006-11-15
Group Rings And Their Augmentation Ideals written by I.B.S. Passi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The History Of Combinatorial Group Theory
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Author : B. Chandler
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The History Of Combinatorial Group Theory written by B. Chandler 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 2012-12-06 with Mathematics categories.
One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Combinatorial Group Theory
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Author : Benjamin Fine
language : en
Publisher: American Mathematical Soc.
Release Date : 1990
Combinatorial Group Theory written by Benjamin Fine and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Eighteen papers presented during a special AMS session designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results.
Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Cynthia Hog-Angeloni
language : en
Publisher: Cambridge University Press
Release Date : 1993-12-09
Two Dimensional Homotopy And Combinatorial Group Theory written by Cynthia Hog-Angeloni 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 1993-12-09 with Mathematics categories.
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.
Introduction To Vassiliev Knot Invariants
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Author : S. Chmutov
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-24
Introduction To Vassiliev Knot Invariants written by S. Chmutov 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 2012-05-24 with Mathematics categories.
A detailed exposition of the theory with an emphasis on its combinatorial aspects.
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.
Groups St Andrews 1989 Volume 1
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Author : C. M. Campbell
language : en
Publisher: Cambridge University Press
Release Date : 1991-03-21
Groups St Andrews 1989 Volume 1 written by C. M. Campbell 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 1991-03-21 with Mathematics categories.
Selected papers presented at the international conference on group theory held at St. Andrews in 1989 are combined in two volumes. The themes of the conference were combinatorial and computational group theory.