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: Combinatorial Group TheoryCombinatorial Group Theory
by - 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.
(16429 views)
Book cover: Lectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential EquationsLectures on Semi-group Theory and its Application to Cauchy's Problem in Partial Differential Equations
by - Tata Institute of Fundamental Research
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.
(13352 views)
Book cover: Representation Theory of Compact GroupsRepresentation Theory of Compact Groups
by - 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.
(12262 views)
Book cover: Lectures on Algebraic GroupsLectures on Algebraic Groups
by - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.
(14271 views)