Infinite Group Theory From The Past To The Future PDF Download
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Author | : Paul Baginski |
Publisher | : World Scientific |
Total Pages | : 258 |
Release | : 2017-12-26 |
Genre | : Mathematics |
ISBN | : 9813204060 |
Download Infinite Group Theory: From The Past To The Future Book in PDF, ePub and Kindle
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.
Author | : Paul Baginski |
Publisher | : |
Total Pages | : 247 |
Release | : 2018 |
Genre | : Electronic books |
ISBN | : 9789813204058 |
Download Infinite Group Theory Book in PDF, ePub and Kindle
"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."--
Author | : John C. Lennox |
Publisher | : Clarendon Press |
Total Pages | : 360 |
Release | : 2004-08-19 |
Genre | : Mathematics |
ISBN | : 0191523151 |
Download The Theory of Infinite Soluble Groups Book in PDF, ePub and Kindle
The central concept in this monograph is that of a soluble group - a group which is built up from abelian groups by repeatedly forming group extensions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, whilst remaining fairly strictly within the boundaries of soluble group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.
Author | : Volker Diekert |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 322 |
Release | : 2024-10-07 |
Genre | : Mathematics |
ISBN | : 3111474275 |
Download Finitely Presented Groups Book in PDF, ePub and Kindle
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.
Author | : P. Barut |
Publisher | : Springer Science & Business Media |
Total Pages | : 285 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9401021449 |
Download Group Theory in Non-Linear Problems Book in PDF, ePub and Kindle
This is the second volume of a series of books in various aspects of Mathematical Physics. Mathematical Physics has made great strides in recent years, and is rapidly becoming an important dis cipline in its own right. The fact that physical ideas can help create new mathematical theories, and rigorous mathematical theo rems can help to push the limits of physical theories and solve problems is generally acknowledged. We believe that continuous con tacts between mathematicians and physicists and the resulting dialogue and the cross fertilization of ideas is a good thing. This series of studies is published with this goal in mind. The present volume contains contributions which were original ly presented at the Second NATO Advanced Study Institute on Mathe matical Physics held in Istanbul in the Summer of 1972. The main theme was the application of group theoretical methods in general relativity and in particle physics. Modern group theory, in par ticular, the theory of unitary irreducibl~ infinite-dimensional representations of Lie groups is being increasingly important in the formulation and solution of dynamical problems in various bran ches of physics. There is moreover a general trend of approchement of the methods of general relativity and elementary particle physics. We hope it will be useful to present these investigations to a larger audience.
Author | : R Akhoury |
Publisher | : World Scientific |
Total Pages | : 369 |
Release | : 1992-10-28 |
Genre | : |
ISBN | : 9814505366 |
Download Gauge Theories, Past And Future: In Commemoration Of The 60th Birthday Of Prof M Veltman Book in PDF, ePub and Kindle
This is a commemoration volume to honor Professor M Veltman on the ocassion of his 60th birthday. It contains articles on Gauge field theories, a subject to which Prof. Veltman has made many important and seminal contributions. Some of the contributions are based on invited talks given at the Conference held in Ann Arbor, Michigan, May 16 - 18 1991. The articles in the book cover a wide range of topics from formal and phenomenological to the experimental aspects of Gauge theories.
Author | : Zuyu Chen |
Publisher | : CRC Press |
Total Pages | : 2170 |
Release | : 2008-06-11 |
Genre | : Business & Economics |
ISBN | : 0203885287 |
Download Landslides and Engineered Slopes. From the Past to the Future, Two Volumes + CD-ROM Book in PDF, ePub and Kindle
270 Expert contributions on aspects of landslide hazards, encompassing geological modeling and soil and rock mechanics, landslide processes, causes and effects, and damage avoidance and limitation strategies. Reference source for academics and professionals in geo-mechanical and geo-technical engineering, and others involved with research, des
Author | : Benjamin Fine |
Publisher | : World Scientific |
Total Pages | : 253 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 9812793410 |
Download Aspects of Infinite Groups Book in PDF, ePub and Kindle
This book is a festschrift in honor of Professor Anthony Gaglione''s sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory.
Author | : Benjamin Fine |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 392 |
Release | : 2021-08-23 |
Genre | : Mathematics |
ISBN | : 3110673371 |
Download Topics in Infinite Group Theory Book in PDF, ePub and Kindle
This book gives an advanced overview of several topics in infinite group theory. It can also be considered as a rigorous introduction to combinatorial and geometric group theory. The philosophy of the book is to describe the interaction between these two important parts of infinite group theory. In this line of thought, several theorems are proved multiple times with different methods either purely combinatorial or purely geometric while others are shown by a combination of arguments from both perspectives. The first part of the book deals with Nielsen methods and introduces the reader to results and examples that are helpful to understand the following parts. The second part focuses on covering spaces and fundamental groups, including covering space proofs of group theoretic results. The third part deals with the theory of hyperbolic groups. The subjects are illustrated and described by prominent examples and an outlook on solved and unsolved problems.
Author | : Alexander Lubotzky |
Publisher | : Birkhäuser |
Total Pages | : 463 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034889658 |
Download Subgroup Growth Book in PDF, ePub and Kindle
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001. Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged. As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure. A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'.