Infinite Group Theory: From The Past To The Future

Author: Fine Benjamin,Gaglione Anthony,Baginski Paul

Publisher: World Scientific

ISBN: 9813204060

Category: Mathematics

Page: 260

View: 4161

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. Contents: Groups with the Weak Minimal Condition on Non-Permutable Subgroups (Laxmi K Chatuat and Martyn R Dixon)A Survey: Shamir Threshold Scheme and Its Enhancements (Chi Sing Chum, Benjamin Fine, and Xiaowen Zhang)The Zappa-Szep Product of Left-Orderable Groups (Fabienne Chouraqui)Totally Disconnected Groups From Baumslag-Solitar Groups (Murray Elder and George Willis)Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA Groups (B Fine, A M Gaglione, and D Spellman)Commutative Transitivity and the CSA Property (Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, and Dennis Spellman)The Universal Theory of Free Burnside Groups of Large Prime Exponent (Anthony M Gaglione, Seymour Lipschutz, and Dennis Spellman)Primitive Curve Lengths on Pairs of Pants (Jane Gilman)Drawing Inferences Under Maximum Entropy From Relational Probabilistic Knowledge Using Group Theory (Gabriele Kern-Isberner, Marco Wilhelm, and Christoph Beierle)On Some Infinite-Dimensional Linear Groups and the Structure of Related Modules (L A Kurdachenko and I Ya Subbotin)On New Analogs of Some Classical Group Theoretical Results in Lie Rings (L A Kurdachenko, A A Pypka and I Ya Subbotin)Log-Space Complexity of the Conjugacy Problem in Wreath Products (Alexei Myasnikov, Svetla Vassileva, and Armin Weiss)Group Presentations, Cayley Graphs and Markov Processes (Peter Olszewski) Readership: Graduate students and researchers in group theory. Keywords: Infinite Group Theory;Combinatorial Group Theory;Geometric Group TheoryReview: Key Features: This book is centered on infinite group theory from a combinatorial and geometric point of view. It also contains material on non-commutative algebraic group-based cryptography

Mathematical Reviews

Author: N.A

Publisher: N.A


Category: Mathematics

Page: N.A

View: 3971

The Structure of the Rational Concordance Group of Knots

Author: Jae Choon Cha

Publisher: American Mathematical Soc.

ISBN: 0821839934

Category: Mathematics

Page: 95

View: 3937

The author studies the group of rational concordance classes of codimension two knots in rational homology spheres. He gives a full calculation of its algebraic theory by developing a complete set of new invariants. For computation, he relates these invariants with limiting behaviour of the Artin reciprocity over an infinite tower of number fields and analyzes it using tools from algebraic number theory. In higher dimensions it classifies the rational concordance group of knots whose ambient space satisfies a certain cobordism theoretic condition. In particular, he constructs infinitely many torsion elements. He shows that the structure of the rational concordance group is much more complicated than the integral concordance group from a topological viewpoint. He also investigates the structure peculiar to knots in rational homology 3-spheres. To obtain further nontrivial obstructions in this dimension, he develops a technique of controlling a certain limit of the von Neumann $L2$-signature invarian

Intermediate algebra

an early functions approach

Author: W. Roy Fraser

Publisher: PWS Pub. Co.

ISBN: 9780534932428

Category: Mathematics

Page: 608

View: 9795

* Features an early introduction of relations/functions and their inverses.* Emphasizes domain, range, symmetry, roots, graphs, notation, and algebra of functions throughout.* A variety of exercises with real-world applications from business, geology, archeology, and psychology.* A strong emphasis on geometry throughout, in keeping with the MCTM and AMATYC standards.


Author: Mark Steinberger

Publisher: Prindle Weber & Schmidt


Category: Mathematics

Page: 558

View: 5443

The intent of this book is to introduce readers to algebra from a point of view that stresses examples and classification. Whenever possible, the main theorems are treated as tools that may be used to construct and analyze specific types of groups, rings, fields, modules, etc. Sample constructions and classifications are given in both text and exercises.


Author: Phillip W. Bean,Jack C. Sharp,Thomas J. Sharp

Publisher: Pws Publishing Company


Category: Mathematics

Page: 656

View: 954

Foundations of higher mathematics

Author: Peter Fletcher,C. Wayne Patty

Publisher: Pws Pub Co


Category: Mathematics

Page: 292

View: 5035

This text introduces students to basic techniques of writing proofs and acquaints them with some fundamental ideas. The authors assume that students using this text have already taken courses in which they developed the skill of using results and arguments that others have conceived. This text picks up where the others left off -- it develops the students' ability to think mathematically and to distinguish mathematical thinking from wishful thinking.

Fundamentals of College Algebra

Author: Earl William Swokowski,Jeffery Alan Cole

Publisher: Arden Shakespeare

ISBN: 9780534932046

Category: Algebra

Page: 578

View: 399

Through eight editions, Swokowski's mathematical accuracy continues to be a trademark. Swokowski's unique problem sets present a variety of challenging and motivating exercises for students. Currently, the Seventh Edition is used at more than sixty U.S. schools.

Numerical Analysis

Author: Richard L. Burden,J. Douglas Faires

Publisher: Brooks/Cole


Category: Mathematics

Page: 768

View: 3331

Gives an introduction to the modern approximation techniques and explains how, why, and when the techniques can be expected to work. The authors focus on building students' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. With a wealth of examples and exercises, the text demonstrates the relevance of numerical analysis to a variety of disciplines and provides ample practice for students. The applications chosen demonstrate concisely how numerical methods can be, and often must be, applied in real-life situations

Catalog of Copyright Entries. Third Series

1968: July-December

Author: Library of Congress. Copyright Office

Publisher: Copyright Office, Library of Congress


Category: Copyright

Page: 1514

View: 8826


Author: Dennis G. Zill

Publisher: Pws Publishing Company

ISBN: 9780534927936

Category: Mathematics

Page: 1051

View: 9647

* Introduces difficult concepts by using intuitive and concrete examples to motivate students.* Concise and accurate writing style with key concepts developed in an easily understandable manner.* Provides an early introduction to calculus and differential equations.* "Remarks" sections warn of potential pitfalls and point out milestones in the historical development of calculus.

Geometric Constructions

Author: George E. Martin

Publisher: Springer Science & Business Media

ISBN: 1461206294

Category: Mathematics

Page: 206

View: 6017

Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.

Boundary value problems and partial differential equations

Author: Mayer Humi,William Miller

Publisher: Pws Pub Co

ISBN: 9780534928803

Category: Mathematics

Page: 342

View: 9922

This book is an outgrowth of 15 years of teaching experience in a course on boundary value problems. It is intended to introduce junior and senior students to boundary value problems, with special emphasis on the modeling process that leads to partial differential equations.

Intermediate Algebra

Author: James W. Hall

Publisher: PWS Publishing Company

ISBN: 9780534927844

Category: Algebra

Page: 569

View: 6418

This popular, pedagogically rich mainstream text in intermediate algebra was one of the first on the market to introduce functions early (in Chapter 2). Graphing of linear systems is also introduced early in the text, and the optional use of graphing calculators is now integrated throughout.

Basic Real Analysis

Author: Houshang H. Sohrab

Publisher: Springer Science & Business Media

ISBN: 0817682325

Category: Mathematics

Page: 559

View: 6192

Basic Real Analysis demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counter examples that arise from such rigor. In this modern and systematic text, all the touchstone results and fundamentals are carefully presented in a style that requires little prior familiarity with proofs or mathematical language. With its many examples, exercises and broad view of analysis, this work is ideal for senior undergraduates and beginning graduate students, either in the classroom or for self-study.

Library Journal

Author: N.A

Publisher: N.A


Category: Libraries

Page: N.A

View: 2713