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Friday, May 1, 2020 | History

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

# Algebraic generalizations of discrete groups

## by Fine, Benjamin

Written in English

Subjects:
• Discrete groups,
• Combinatorial group theory

• Edition Notes

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

Classifications The Physical Object Statement Benjamin Fine, Gerhard Rosenberger Series Monographs and textbooks in pure and applied mathematics -- 223 Contributions Rosenberger, Gerhard LC Classifications QA178 .F55 1999 Pagination ix, 317 p. : Number of Pages 317 Open Library OL16948878M ISBN 10 0824703197 LC Control Number 99032814

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. Subsection Groups To illustrate the axiomatic level and the universal concepts, we will consider yet another kind of axiomatic system, the group. In Chapter 5 we noted that the simplest equation in matrix algebra that we are often called upon to solve is $$A X = B\text{,}$$ where $$A$$ and $$B$$ are known square matrices and $$X$$ is an. Discrete structures: We have seen that the very structure of a maze (once we have removed all extraneous information like color, shape and so on) can be formalized with a graph, that is a set of nodes which are connected or not by edges. A graph is a good example of File Size: KB.

Generalization from arithmetic and from patterns in all of mathematics Meaningful use of symbol Structure in the Number System Explicit Mathematical Modeling Last but not least be the best teacher you can be support your students, and always let them know that you are there to. Providing new insights into classical results and opening avenues for further applications, the book then uses representation-theoretic techniques-especially induction theory-to examine equivariant higher algebraic K-theory, their relative generalizations, and equivariant homology theories . The book covers linear algebraic groups and arithmetic groups, adeles and arithmetic properties of algebraic groups, automorphic functions and spectral decomposition of L2-spaces, vector valued cohomology and deformation of discrete subgroups, etc. ( views) Mixed Motives by Marc Levine - American Mathematical Society, Written: Introduction To K theory and Some Applications. This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m Higher K-theory of exact Categories, Schemes.

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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 Algebraic generalizations of discrete groups book 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 Algebraic generalizations of discrete groups book 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 Algebraic generalizations of discrete groups book 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 Algebraic generalizations of discrete groups book 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. 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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, ). 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