Right-Ordered Groups

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.

List 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.

Report

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

Product details

• Authors: V Kopytov, V M Kopytov, V. M. Kopytov, V.M. Kopytov, Valeri¿ M. Kopytov, N Ya Medvedev, N. Ya. Medvedev, N.Ya. Medvedev, Nikola¿ Ya. Medvedev
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 26.06.2009
• EAN: 9780306110603
• ISBN: 978-0-306-11060-3
• No. of pages: 250
• Weight: 486 g
• Illustrations: X, 250 p.
• Series: Siberian School of Algebra and Logic; Siberian School of Algebra and Logic
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries