E-raamat: Theory of Lattice-Ordered Groups [Taylor & Francis e-raamat]

A reference for research mathematicians and a text for graduate students who want to become familiar with the standard theorems, constructions, and techniques of lattice-group theory. Assumes a knowledge of free groups, solvable and nilpotent groups, filters, and other topics encountered in graduate courses in group theory and topology. Begins with the general concepts common to all lattice-groups then proceeds through successively finer classes. Annotation copyright Book News, Inc. Portland, Or.

Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.