Groups and Semigroups: Connections and Contrasts
by John Meakin
Publisher: University of Nebraska-Lincoln 2005
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.
Download or read it online for free here:
Download link
(360KB, PDF)
Similar books
![Book cover: Finite Group Schemes](images/6024.jpg)
by Richard Pink - ETH Zurich
The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch.
(10144 views)
![Book cover: An Elementary Introduction to Group Theory](images/12250.jpg)
by M. E. Charkani - AMS
The theory of groups is a branch of mathematics in which we study the concept of binaryoperations. Group theory has many applications in physics and chemistry, and is potentially applicable in any situation characterized by symmetry.
(7237 views)
![Book cover: Galois Groups and Fundamental Groups](images/5964.jpg)
by David Meredith - 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.
(11389 views)
![Book cover: Groupoids and Smarandache Groupoids](images/4285.jpg)
by W. B. Vasantha Kandasamy - American Research Press
This book by Dr. W. B. Vasantha aims to give a systematic development of the basic non-associative algebraic structures viz. Smarandache groupoids. Smarandache groupoids exhibits simultaneously the properties of a semigroup and a groupoid.
(11416 views)