Classical Finite Transformation Semigroups An Introduction /

• Main Authors: Ganyushkin, Olexandr (Author), Mazorchuk, Volodymyr (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London : Imprint: Springer, 2009.
• Series: Algebra and Applications, 9
• Subjects: Mathematics.; Group theory.; Combinatorics.; Group Theory and Generalizations.

The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete examples and combinatorial applications. It covers the following topics on the examples of the three classical finite transformation semigrou...

Table of Contents:

• Ordinary and Partial Transformations
• The Semigroups T n, PT n, and IS n
• Generating Systems
• Ideals and Green ' s Relations
• Subgroups and Subsemigroups
• Other Relations on Semigroups
• Endomorphisms
• Nilpotent Subsemigroups
• Presentation
• Transitive Actions
• Linear Representations
• Cross-Sections
• Variants
• Order-Related Subsemigroups.