Logo

Groups and Semigroups: Connections and Contrasts

Small book cover: Groups and Semigroups: Connections and Contrasts

Groups and Semigroups: Connections and Contrasts
by

Publisher: University of Nebraska-Lincoln
Number of pages: 40

Description:
In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. While I will briefly mention some aspects of finite semigroup theory, regular semigroup theory, and the theory of linear algebraic monoids, I will focus primarily on the theory of inverse semigroups and its connections with geometric group theory.

Home page url

Download or read it online for free here:
Download link
(360KB, PDF)

Similar books

Book cover: Thin Groups and Superstrong ApproximationThin Groups and Superstrong Approximation
by - Cambridge University Press
This book focuses on recent developments concerning various quantitative aspects of thin groups. It provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory, and combinatorics.
(5425 views)
Book cover: Groups Around UsGroups Around Us
by - Massachusetts Institute of Technology
These are notes of a mini-course of group theory for high school students. This course covers the most basic parts of group theory with many applications. The notes contain many exercises, which are necessary for understanding the main text.
(3546 views)
Book cover: Galois Groups and Fundamental GroupsGalois Groups and Fundamental Groups
by - San Francisco State University
This course brings together two areas of mathematics that each concern symmetry -- symmetry in algebra, in the case of Galois theory; and symmetry in geometry, in the case of fundamental groups. Prerequisites are courses in algebra and analysis.
(10009 views)
Book cover: Congruence Lattices of Finite AlgebrasCongruence Lattices of Finite Algebras
by - arXiv
We review a number of methods for finding a finite algebra with a given congruence lattice, including searching for intervals in subgroup lattices. We also consider methods for proving that algebras with a given congruence lattice exist...
(8385 views)