Ordered permutation groups A.M.W. Glass. Lecture note series 55.

Glass, A. M. W.

ISBN 10: 0521241901 / ISBN 13: 9780521241908

Published by Cambridge a.o., Cambridge University Press, 1981

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 06 GLA 9780521241908 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2498694

Bibliographic Details

• Title: Ordered permutation groups A.M.W. Glass. Lecture note series 55.
• Publisher: Cambridge a.o., Cambridge University Press
• Publication Date: 1981
• Language: English
• ISBN 10: 0521241901
• ISBN 13: 9780521241908
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

As a result of the work of the nineteenth-century mathematician Arthur Cayley, algebraists and geometers have extensively studied permutation of sets. In the special case that the underlying set is linearly ordered, there is a natural subgroup to study, namely the set of permutations that preserves that order. In some senses. these are universal for automorphisms of models of theories. The purpose of this book is to make a thorough, comprehensive examination of these groups of permutations. After providing the initial background Professor Glass develops the general structure theory, emphasizing throughout the geometric and intuitive aspects of the subject. He includes many applications to infinite simple groups, ordered permutation groups and lattice-ordered groups. The streamlined approach will enable the beginning graduate student to reach the frontiers of the subject smoothly and quickly. Indeed much of the material included has never been available in book form before, so this account should also be useful as a reference work for professionals.

Book Description

As a result of the work of the nineteenth-century mathematician Arthur Cayley, algebraists and geometers have extensively studied permutation of sets. In the special case that the underlying set is linearly ordered, there is a natural subgroup to study, namely the set of permutations that preserves that order.