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: Algebraic Groups, Lie Groups, and their Arithmetic SubgroupsAlgebraic Groups, Lie Groups, and their Arithmetic Subgroups
by
This work is a modern exposition of the theory of algebraic group schemes, Lie groups, and their arithmetic subgroups. Algebraic groups are groups defined by polynomials. Those in this book can all be realized as groups of matrices.
(7943 views)
Book cover: An Elementary Introduction to Groups and RepresentationsAn Elementary Introduction to Groups and Representations
by - arXiv
An elementary introduction to Lie groups, Lie algebras, and their representations. Topics include definitions and examples of Lie groups and Lie algebras, the basics of representations theory, the Baker-Campbell-Hausdorff formula, and more.
(13555 views)
Book cover: Finite Group SchemesFinite Group Schemes
by - 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.
(5759 views)
Book cover: Theory of Groups of Finite OrderTheory of Groups of Finite Order
by - Cambridge University Press
After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.
(6007 views)