Right-Ordered Groups / Edition 1

by V.M. Kopytov, N.Ya. Medvedev

Overview

The notion of right-ordered groups is fundamental in theories of I-groups, ordered groups, torsion-free groups, and the theory of zero-divisors free rings, as well as in theoretical physics. Right-Ordered Groups is the first book to provide a systematic presentation of right-ordered group theory, describing all known and new results in the field. The volume addresses topics such as right-ordered groups and order permutation groups, the system of convex subgroups of a right-ordered group, and free products of right-ordered groups.

Product Details

ISBN-13:	9780306110603
Publisher:	Springer US
Publication date:	04/30/1996
Series:	Siberian School of Algebra and Logic
Edition description:	1996
Pages:	250
Product dimensions:	5.98(w) x 9.02(h) x 0.35(d)

Table of Contents

Introduction. Systems of Convex Subgroups. Orderability Conditions. Groups of Order Automorphisms. Relatively Convex Subgroups. Orders on Free Products. Quasivarieties. Semilinearly Ordered Groups. Index.

Editorial Reviews

‘A good up-to-date account of right-ordered groups...Indispensable for anyone wishing to work in this area.'
London Mathematical Society, 1998

From the Publisher

For readers with a preliminary knowledge of the group theory, the set theory, and topology, introduces a branch of contemporary algebra connected with the abstract group theory, the theory of ordered algebraic systems, and other fields of mathematics. Begins by reviewing classical theorems and methods of the theory of partially ordered groups, especially right partial orders; and by presenting the theory of groups of automorphisms of totally ordered sets as a tool for studying right-ordered groups. The description of the properties and structures of right-ordered groups themselves focuses on extensions of orders, conditions under which right orders can be introduced, and the definition of operations of the class as a whole and its most important subclasses. Published simultaneously with a Russian edition by Scientific Books in Novosibirsk. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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