Groups: Presentations and Representations
by Christopher Cooper
Publisher: Macquarie University 2008
Number of pages: 203
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.
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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.
by W. B. Vasantha Kandasamy - 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.
by J. S. Milne
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.
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.