Right-Ordered Groups

1996
ISBN: 978-0-306-11060-3
Verlag: Springer US

Buch, Englisch, 250 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 1250 g

Reihe: Siberian School of Algebra and Logic

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.

Zielgruppe

Research

Autoren/Hrsg.

Medvedev, N. Ya.

Kopytov, V.M.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematik Allgemein

Inhaltsverzeichnis

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