Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places.
This volume features seventeen extended conference abstracts corresponding to selected talks given by participants at the CRM research program "e;Automorphisms of Free Groups: Algorithms, Geometry and Dynamics"e;, which took place at the Centre de Recerca Matematica in Barcelona in fall 2012.
Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work.
For most practicing analysts who use functional analysis, the restriction to Banach spaces seen in most real analysis graduate texts is not enough for their research.
This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov's theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov's theorem.
This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space.
The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classical Levy-Khinchin representation.
This volume consists of seven papers related in various matters to the research work of Kostia Beidar , a distinguished ring theorist and professor of National Ching Kung University (NCKU).
This book is an outgrowth of a Research Symposium on the Modular Representation Theory of Finite Groups, held at the University of Virginia in May 1998.
Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories.
Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories.
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra.
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra.
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra.
After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.
This book is summarizing the results of the workshop "e;Uniform Distribution and Quasi-Monte Carlo Methods"e; of the RICAM Special Semester on "e;Applications of Algebra and Number Theory"e; in October 2013.
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra.
After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.
This book is summarizing the results of the workshop "e;Uniform Distribution and Quasi-Monte Carlo Methods"e; of the RICAM Special Semester on "e;Applications of Algebra and Number Theory"e; in October 2013.
This book is based on the invited talks of the "e;RICAM-Workshop on Finite Fields and Their Applications: Character Sums and Polynomials"e; held at the Federal Institute for Adult Education (BIfEB) in Strobl, Austria, from September 2-7, 2012.
This monograph is an introduction into a new and fast developing field on the crossroads of infinite-dimensional Lie algebra theory and contemporary mathematical physics.