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The Generation Problem in Thompson Group $F$
  • Language: en
  • Pages: 106

The Generation Problem in Thompson Group $F$

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Basic Almost-Poised Hypergeometric Series
  • Language: en
  • Pages: 116

Basic Almost-Poised Hypergeometric Series

Presents a systematic treatment for the evaluation of basic almost poised series. Some 200 identities are covered, among which most are believed to be new. Their connections with the q-Clausen formulae as well as Rogers-Ramanujan identities are sketched. No index. Annotation copyrighted by Book News, Inc., Portland, OR

Office Hours with a Geometric Group Theorist
  • Language: en
  • Pages: 456

Office Hours with a Geometric Group Theorist

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cov...

Topological and Asymptotic Aspects of Group Theory
  • Language: en
  • Pages: 248

Topological and Asymptotic Aspects of Group Theory

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.

Algebraic and Geometric Combinatorics
  • Language: en
  • Pages: 342

Algebraic and Geometric Combinatorics

This volume contains original research and survey articles stemming from the Euroconference ``Algebraic and Geometric Combinatorics''. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen-Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan-Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.

150 Years of Mathematics at Washington University in St. Louis
  • Language: en
  • Pages: 162

150 Years of Mathematics at Washington University in St. Louis

Articles in this book are based on talks given at the conference commemorating the 150th anniversary of the Washington University in St. Louis. The articles cover a wide range of important topics in mathematics, and are written by former and present faculty or graduates of the Washington University Department of Mathematics. The volume is prefaced by a brief history of the Washington University Department of Mathematics, a roster of those who received the PhD degree from the department, and a list of the Washington University Department of Mathematics faculty.

Algebraic Structure of Pseudocompact Groups
  • Language: en
  • Pages: 101

Algebraic Structure of Pseudocompact Groups

The fundamental property of compact spaces - that continuous functions defined on compact spaces are bounded - served as a motivation for E. Hewitt to introduce the notion of a pseudocompact space. The class of pseudocompact spaces proved to be of fundamental importance in set-theoretic topology and its applications. This clear and self-contained exposition offers a comprehensive treatment of the question, When does a group admit an introduction of a pseudocompact Hausdorff topology that makes group operations continuous? Equivalently, what is the algebraic structure of a pseudocompact Hausdorff group? The authors have adopted a unifying approach that covers all known results and leads to new ones, Results in the book are free of any additional set-theoretic assumptions.

Geometry of Crystallographic Groups
  • Language: en
  • Pages: 208

Geometry of Crystallographic Groups

Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. This book gives an example of the torsion free crystallographic group with a trivial center and a trivial outer automorphism group.

Limit Theorems for Functionals of Ergodic Markov Chains with General State Space
  • Language: en
  • Pages: 225

Limit Theorems for Functionals of Ergodic Markov Chains with General State Space

This book is intended for graduate students and research mathematicians working probability theory and statistics.

The Defect Relation of Meromorphic Maps on Parabolic Manifolds
  • Language: en
  • Pages: 95

The Defect Relation of Meromorphic Maps on Parabolic Manifolds

This book is intended for graduate students and research mathematicians working in several complex variables and analytic spaces.