**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

**Representation Theory of Compact Groups**

by

**Michael Ruzhansky, Ville Turunen**-

**Aalto TKK**

Contents: Groups (Groups without topology, Group actions and representations); Topological groups (Compact groups, Haar measure, Fourier transforms on compact groups..); Linear Lie groups (Exponential map, Lie groups and Lie algebras); Hopf algebras.

(

**6033**views)

**Combinatorial Group Theory**

by

**Charles F. Miller III**-

**University of Melbourne**

Lecture notes for the subject Combinatorial Group Theory at the University of Melbourne. Contents: About groups; Free groups and presentations; Construction of new groups; Properties, embeddings and examples; Subgroup Theory; Decision Problems.

(

**8792**views)

**Interval Groupoids**

by

**W. B. V. Kandasamy, F. Smarandache, M. K. Chetry**-

**arXiv**

This book defines new classes of groupoids, like matrix groupoid, polynomial groupoid, interval groupoid, and polynomial groupoid. This book introduces 77 new definitions substantiated and described by 426 examples and 150 theorems.

(

**4753**views)

**Introduction to Lie Groups and Lie Algebras**

by

**Alexander Kirillov, Jr.**-

**SUNY at Stony Brook**

The book covers the basic contemporary theory of Lie groups and Lie algebras. This classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. Written in an informal style.

(

**8832**views)