Combinatorial Group Theory, Discrete Groups, and Number Theory PDF Download

Author:
Publisher: American Mathematical Soc.
ISBN: 9780821857519
Category : Combinatorial group theory
Languages : en
Pages : 273

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Author: Benjamin Fine
Publisher: American Mathematical Soc.
ISBN: 0821839853
Category : Mathematics
Languages : en
Pages : 282

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Book Description
This volume consists of contributions by participants and speakers at two conferences. The first was entitled Combinatorial Group Theory, Discrete Groups and Number Theory and was held at Fairfield University, December 8-9, 2004. It was in honor of Professor Gerhard Rosenberger's sixtieth birthday. The second was the AMS Special Session on Infinite Group Theory held at Bard College, October 8-9, 2005. The papers in this volume provide a very interesting mix of combinatorial group theory, discrete group theory and ring theory as well as contributions to noncommutative algebraic cryptography.

Author: Roger C. Lyndon
Publisher: Springer
ISBN: 3642618960
Category : Mathematics
Languages : en
Pages : 354

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Book Description
From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews

Author: Gilbert Baumslag
Publisher: Springer Science & Business Media
ISBN: 1461397308
Category : Mathematics
Languages : en
Pages : 235

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Book Description
The papers in this volume are the result of a workshop held in January 1989 at the Mathematical Sciences Research Institute. Topics covered include decision problems, finitely presented simple groups, combinatorial geometry and homology, and automatic groups and related topics.

Author: Benjamin Fine
Publisher:
ISBN: 9780821839850
Category :
Languages : en
Pages : 273

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Book Description

Author: Wilhelm Magnus
Publisher: Courier Corporation
ISBN: 0486438309
Category : Mathematics
Languages : en
Pages : 466

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Book Description
This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.

Author: Benjamin Fine
Publisher: CRC Press
ISBN: 9780824703196
Category : Mathematics
Languages : en
Pages : 338

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A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.

Author: Gilbert Baumslag
Publisher: Birkhäuser
ISBN: 3034885873
Category : Mathematics
Languages : en
Pages : 174

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Book Description
Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.

Author: Valérie Berthé
Publisher: Birkhäuser
ISBN: 331969152X
Category : Mathematics
Languages : en
Pages : 578

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Book Description
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.

Author: Bruce Chandler
Publisher:
ISBN:
Category : Combinatorial group theory
Languages : en
Pages : 256

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Book Description