Complexity And Randomness In Group Theory
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Complexity And Randomness In Group Theory
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Author : Frédérique Bassino
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-06-08
Complexity And Randomness In Group Theory written by Frédérique Bassino 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 2020-06-08 with Mathematics categories.
This book shows new directions in group theory motivated by computer science. It reflects the transition from geometric group theory to group theory of the 21st century that has strong connections to computer science. Now that geometric group theory is drifting further and further away from group theory to geometry, it is natural to look for new tools and new directions in group theory which are present.
Computational And Statistical Group Theory
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Author : Robert H. Gilman
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Computational And Statistical Group Theory written by Robert H. Gilman 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 2002 with Combinatorial group theory categories.
This book gives a nice overview of the diversity of current trends in computational and statistical group theory. It presents the latest research and a number of specific topics, such as growth, black box groups, measures on groups, product replacement algorithms, quantum automata, and more. It includes contributions by speakers at AMS Special Sessions at The University of Nevada (Las Vegas) and the Stevens Institute of Technology (Hoboken, NJ). It is suitable for graduate students and research mathematicians interested in group theory.
Non Commutative Cryptography And Complexity Of Group Theoretic Problems
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Author : Alexei G. Myasnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2011
Non Commutative Cryptography And Complexity Of Group Theoretic Problems written by Alexei G. Myasnikov 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 2011 with Combinatorial group theory categories.
Examines the relationship between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It explores how non-commutative (infinite) groups can be used in public key cryptography. It also shows that there is remarkable feedback from cryptography to combinatorial group theory because some of the problems motivated by cryptography appear to be new to group theory.
Groups And Model Theory
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Author : Olga Kharlampovich
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-05-10
Groups And Model Theory written by Olga Kharlampovich 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 2021-05-10 with Mathematics categories.
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .
Topological And Asymptotic Aspects Of Group Theory
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Author : R. I. Grigorchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Topological And Asymptotic Aspects Of Group Theory written by R. I. Grigorchuk 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 2006 with Mathematics categories.
The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
Elementary Theory Of Groups And Group Rings And Related Topics
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Author : Paul Baginski
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-02-10
Elementary Theory Of Groups And Group Rings And Related Topics written by Paul Baginski 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 2020-02-10 with Mathematics categories.
This proceedings volume documents the contributions presented at the conference held at Fairfield University and at the Graduate Center, CUNY in 2018 celebrating the New York Group Theory Seminar, in memoriam Gilbert Baumslag, and to honor Benjamin Fine and Anthony Gaglione. It includes several expert contributions by leading figures in the group theory community and provides a valuable source of information on recent research developments.
Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography
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Author : Delaram Kahrobaei
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-02-25
Algorithmic Problems Of Group Theory Their Complexity And Applications To Cryptography written by Delaram Kahrobaei 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 2015-02-25 with Mathematics categories.
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.
Latin 2014 Theoretical Informatics
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Author : Alberto Pardo
language : en
Publisher: Springer
Release Date : 2014-03-24
Latin 2014 Theoretical Informatics written by Alberto Pardo and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-24 with Computers categories.
This book constitutes the refereed proceedings of the 11th Latin American Symposium on Theoretical Informatics, LATIN 2014, held in Montevideo, Uruguay, in March/April 2014. The 65 papers presented together with 5 abstracts were carefully reviewed and selected from 192 submissions. The papers address a variety of topics in theoretical computer science with a certain focus on complexity, computational geometry, graph drawing, automata, computability, algorithms on graphs, algorithms, random structures, complexity on graphs, analytic combinatorics, analytic and enumerative combinatorics, approximation algorithms, analysis of algorithms, computational algebra, applications to bioinformatics, budget problems and algorithms and data structures.
Combinatorial And Geometric Group Theory
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Author : Oleg Bogopolski
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-28
Combinatorial And Geometric Group Theory written by Oleg Bogopolski 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 2011-01-28 with Mathematics categories.
This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developing new aspects of these modern and active fields in mathematics. It is also appropriate to advanced students interested in recent results at a research level.
Locally Random Reductions In Interactive Complexity Theory
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Author : DIMACS (GROUP)
language : en
Publisher:
Release Date : 1992
Locally Random Reductions In Interactive Complexity Theory written by DIMACS (GROUP) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Proof theory categories.
Abstract: "We survey definitions, known results, and open questions in the area of locally random reductions and explore the ramifications of these reductions in complexity theory. This paper is based on a survey talk given at the DIMACS Workshop on Structural Complexity and Cryptography, Rutgers University, New Brunswick NJ, December 1990."