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Sunday, May 3, 2020 | History

5 edition of Algebraic generalizations of discrete groups found in the catalog.

Algebraic generalizations of discrete groups

a path to combinatorial group theory through one-relator products

by Fine, Benjamin

  • 280 Want to read
  • 13 Currently reading

Published by Marcel Dekker in New York .
Written in English

    Subjects:
  • Discrete groups,
  • Combinatorial group theory

  • Edition Notes

    Includes bibliographical references (p. 291-308) and indexes

    StatementBenjamin Fine, Gerhard Rosenberger
    SeriesMonographs and textbooks in pure and applied mathematics -- 223
    ContributionsRosenberger, Gerhard
    Classifications
    LC ClassificationsQA178 .F55 1999
    The Physical Object
    Paginationix, 317 p. :
    Number of Pages317
    ID Numbers
    Open LibraryOL16948878M
    ISBN 100824703197
    LC Control Number99032814

    Written by experts in both mathematics and biology, Algebraic and Discrete Mathematical Methods for Modern Biology offers a bridge between math and biology, providing a framework for simulating, analyzing, predicting, and modulating the behavior of complex biological systems. Each chapter begins with a question from modern biology, followed by the description of certain mathematical methods Brand: Academic Press. This text is intended to serve as an introduction to the geometry of the action of discrete groups of Mobius transformations. The subject matter has now been studied with changing points of emphasis for over a hundred years, the most recent developments being connected with the theory of 3-manifolds: see, for example, the papers of Poincare [77] and Thurston [].

    (shelved 3 times as discrete-math) avg rating — 1, ratings — published   Algebraic Theory of the Bianchi Groups by Benjamin Fine, , available at Book Depository with free delivery worldwide. We use cookies to give you the best possible experience. Algebraic Generalizations of Discrete Groups. Benjamin Author: Benjamin Fine.

      Abstract: This volume contains a collection of papers on algebraic curves and their applications. While algebraic curves traditionally have provided a path toward modern algebraic geometry, they also provide many applications in number theory, computer security and cryptography, coding theory, differential equations, and more. Algebraic Groups and Their Generalizations by Brian J. Parshall, , available at Book Depository with free delivery worldwide.


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Algebraic generalizations of discrete groups by Fine, Benjamin Download PDF EPUB FB2

Algebraic Generalizations of Discrete Groups: A Path to Combinatorial Group Theory Through One-Relator Products (Chapman & Hall/CRC Pure and Applied Mathematics) 1st Edition by Benjamin Fine (Author) › Visit Amazon's Benjamin Fine Page. Find all the books, read about the author, and more.

Cited by: Book Description. A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations.

It provides a self-contained account of certain natural generalizations of discrete groups. Algebraic Generalizations of Discrete Groups: A Path to Combinatorial Group Theory Through One-Relator Products - CRC Press Book A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical.

Get this from a library. Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. [Benjamin Fine; Gerhard Rosenberger] -- "Building on the achievements of combinatorial group theory, first established as a response to infinite discrete groups used in topological studies by Poincare, this reference/text thoroughly.

A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations.

It provides a self-contained account of certain natural Price: $ In mathematics, a group is a set equipped with a binary operation that combines any two elements to form a third element in such a way that four conditions called group axioms are satisfied, namely closure, associativity, identity and of the most familiar examples of a group is the set of integers together with the addition operation, but groups are encountered in numerous.

Get this from a library. Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products. [Benjamin Fine; Gerhard Rosenberger]. Classes. Several important classes of groups are algebraic groups, including: Finite groups; GL(n, C), the general linear group of invertible matrices over CJet group; Elliptic curves.; Two important classes of algebraic groups arise, that for the most part are studied separately: abelian varieties (the 'projective' theory) and linear algebraic groups (the 'affine' theory).

A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations.

It provides a self-contained account. Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

Methods of algebraic K-theory are actively used in algebra and related fields, achieving interesting results.

Generalizations and Symbolism A correct understanding of the equal sign is the first form of symbolism that is addressed. The development follows many of the ideas found in the work of Tom Carpenter and his colleagues in the book Thinking Mathematically(Heinemann, ). The failure of the curriculum to construct an accurate understanding of.

Publisher Summary. This chapter highlights a universal identity satisfied by the minors of any matrix. The chapter presents an assumption wherein R is an excellent discrete valuation ring and X = (X 1,X n) bethe power series ring [[X]] is a direct limit of smooth [X] theorem follows from follows from Néron's p-desingularization in the case n = 0.

Mathematics Subject Classification: Primary: XX [][] One of the main types of algebraic systems (cf. Algebraic system).The theory of groups studies in the most general form properties of algebraic operations which are often encountered in mathematics and their applications; examples of such operations are multiplication of numbers, addition of vectors, successive performance.

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

Thus, this book makes computations of higher K-theory of group rings more accessible and provides novel.

Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations.

Thus, this. saying that the Pontrjagin dual of a compact commutative group is discrete and vice versa to compact algebraic quantum groups. Here an algebraic quantum group is called discrete if as a ∗-algebra it is isomorphic to an algebraic direct product of full matrix ∗-algebras overthe complexnumbers.

For this part only some basic knowledge. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and.

algebraic thinking for students (see, for example, Usiskin, ). Algebraic problems in elementary school do not have to include the dreaded phrase, “Solve for x.” Considering the role of algebra in grades 3 – 5 requires us to go beyond the limited definition of “problems with letters” to a more generative view of algebraic Size: KB.

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their -theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function properties, such as whether a ring admits.

Hyperbolic Manifolds and Discrete Groups. Birkh¨auser, [$77] Knot Theory. This is a very accessible topic and there are plenty of readable books. The following ones are listed more or less in order of increasing sophistication.

• C C Adams. The Knot Book. W.H. Freeman, [$17] • C Livingston. Knot Size: 65KB. Reference sheet for notation [r] the element r +nZ of Zn hgi the group (or ideal) generated by g A3 the alternating group on three elements A/G for G a group, A is a normal subgroup of G A/R for R a ring, A is an ideal of R C the complex numbers fa +bi: a,b 2C and i = p 1g [G,G] commutator subgroup of a group G [x,y] for x and y in a group G, the commutator of x and y.Abstract.

Some basic properties of bent functions are discussed in this chapter. The first one is a restriction on the degree of a bent function: if f is bent in n variables, then 2 ≤ deg (f) ≤ n / second one is that a Boolean function extended affinely equivalent to a bent function is bent too.From April a Symposium on Algebraic Groups was held at the University of Utrecht, The Netherlands, in celebration of the th birthday of the University and the 60th of T.A.

Springer. Recognized leaders in the field of algebraic groups and related areas gave lectures which covered wide.