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Introduction to Abstract Algebra
  • Language: en
  • Pages: 583

Introduction to Abstract Algebra

  • Type: Book
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  • Published: 2014-07
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  • Publisher: JHU Press

Presents a systematic approach to one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, this title begins with familiar topics such as rings, numbers, and groups before introducing more difficult concepts.

Infinite Group Theory: From The Past To The Future
  • Language: en
  • Pages: 258

Infinite Group Theory: From The Past To The Future

The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest.

Combinatorial Group Theory, Discrete Groups, and Number Theory
  • Language: en
  • Pages: 282

Combinatorial Group Theory, Discrete Groups, and Number Theory

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.

Finitely Presented Groups
  • Language: en
  • Pages: 322

Finitely Presented Groups

This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.

Catalogue
  • Language: en
  • Pages: 190

Catalogue

  • Type: Book
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  • Published: 1990
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  • Publisher: Unknown

None

Annapolis, the United States Naval Academy Catalog
  • Language: en
  • Pages: 212

Annapolis, the United States Naval Academy Catalog

  • Type: Book
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  • Published: 1978
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  • Publisher: Unknown

None

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography
  • Language: en
  • Pages: 136

Algorithmic Problems of Group Theory, Their Complexity, and Applications to Cryptography

This volume contains the proceedings of the AMS Special Session on Algorithmic Problems of Group Theory and Their Complexity, held January 9-10, 2013 in San Diego, CA and the AMS Special Session on Algorithmic Problems of Group Theory and Applications to Information Security, held April 6-7, 2013 at Boston College, Chestnut Hill, MA. Over the past few years the field of group-based cryptography has attracted attention from both group theorists and cryptographers. The new techniques inspired by algorithmic problems in non-commutative group theory and their complexity have offered promising ideas for developing new cryptographic protocols. The papers in this volume cover algorithmic group theory and applications to cryptography.

The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions
  • Language: en
  • Pages: 512

The Mathematical Legacy of Wilhelm Magnus: Groups, Geometry and Special Functions

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.

Geometric and Computational Perspectives on Infinite Groups
  • Language: en
  • Pages: 240

Geometric and Computational Perspectives on Infinite Groups

This book contains the proceedings of two workshops on computational aspects of geometric group theory.

Algorithmic Problems in Groups and Semigroups
  • Language: en
  • Pages: 312

Algorithmic Problems in Groups and Semigroups

This volume contains papers which are based primarily on talks given at an inter national conference on Algorithmic Problems in Groups and Semigroups held at the University of Nebraska-Lincoln from May ll-May 16, 1998. The conference coincided with the Centennial Celebration of the Department of Mathematics and Statistics at the University of Nebraska-Lincoln on the occasion of the one hun dredth anniversary of the granting of the first Ph.D. by the department. Funding was provided by the US National Science Foundation, the Department of Math ematics and Statistics, and the College of Arts and Sciences at the University of Nebraska-Lincoln, through the College's focus program in Discrete, Ex...