Logo

Groups: Presentations and Representations

Small book cover: Groups: Presentations and Representations

Groups: Presentations and Representations
by

Publisher: Macquarie University
Number of pages: 203

Description:
This is a first course on group theory but is more suitable to a third year student than a first year one. It attempts to motivate group theory with many illustrative examples such as shuffling of cards, bell ringing and permutation puzzles. As well as the usual introductory theory there's an elementary introduction to representation theory, to the Todd-Coxeter algorithm and to free groups.

Home page url

Download or read it online for free here:
Download link
(multiple PDF files)

Similar books

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.
(5433 views)
Book cover: Smarandache SemigroupsSmarandache Semigroups
by - American Research Press
The Smarandache semigroups exhibit properties of both a group and a semigroup simultaneously. This book assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties for reference.
(5166 views)
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.
(6983 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.
(4896 views)