Description

Book Synopsis
Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.

Table of Contents
Introduction to inverse semigroups; elementary properties of inverse semigroups; Ehresmann's maximum enlargement theorem; presentations of inverse monoids; inverse semigroups and formal languages; the type II theorem; complements.

Inverse Semigroups, The Theory Of Partial

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    A Hardback by Mark V Lawson

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      View other formats and editions of Inverse Semigroups, The Theory Of Partial by Mark V Lawson

      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: 10/11/1998
      ISBN13: 9789810233167, 978-9810233167
      ISBN10: 9810233167

      Description

      Book Synopsis
      Symmetry is one of the most important organising principles in the natural sciences. The mathematical theory of symmetry has long been associated with group theory, but it is a basic premise of this book that there are aspects of symmetry which are more faithfully represented by a generalization of groups called inverse semigroups. The theory of inverse semigroups is described from its origins in the foundations of differential geometry through to its most recent applications in combinatorial group theory, and the theory tilings.

      Table of Contents
      Introduction to inverse semigroups; elementary properties of inverse semigroups; Ehresmann's maximum enlargement theorem; presentations of inverse monoids; inverse semigroups and formal languages; the type II theorem; complements.

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