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.
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.
The focus of algorithmic group theory shifted from the decidability/undecidability type of result to the complexity of algorithms. This title contains papers that reflect that paradigm shift. It presents articles that are based on the AMS/ASL Joint Special Session, Interactions Between Logic, Group Theory and Computer Science.
Covering relations between three different areas of mathematics and theoretical computer science, this book explores how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography.
This study incorporates elements from the disciplines of international relations and history to address key international and domestic elements that have shaped the interactions between Russia and China over time. It demonstrates how changes in the inter-state relationship were, and are, initiated. Controversial issues are examined through previous
This volume consists of contributions by speakers at the AMS Special Session on Combinatorial and Statistical Group Theory held at New York University. Readers will find a variety of contributions, including survey papers on applications of group theory in cryptography, research papers on various aspects of statistical group theory, and papers on more traditional combinatorial group theory. The book is suitable for graduate students and research mathematicians interested in group theory and its applications to cryptography.
This book addresses the problem of World Regional Studies and its components: regional complexes, regional subsystems and global regions. With an increasingly complex international system and the emergence of new actors, it is clear that the conceptual framing within the classical disciplines of IR, Political Theory, International Political Economy or Comparative Politics can no longer fully explain a number of processes originating from a tighter and intricate nexus between local, regional and global dimensions. World Regional Studies explains the emergence of new phenomena in international relations and world politics on a regional and predominantly non-Western regional level. How do non-Western societies react to the transformations of the global order? Is a non-Western democracy possible? Should we discuss the possibilities for the appearance of a non-Western IR theory or a new framework for analyzing de-westernized global development? This study, based on decade-long research and teaching post in World Regional Studies at MGIMO-University and Russian University of Humanitarian Studies (RGGU), seeks to answers these questions.
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