Groups as Graphs
by W. B. V. Kandasamy, F. Smarandache
Publisher: CuArt 2009
Number of pages: 170
In this book, for the first time, the authors represented every finite group in the form of a graph. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups.
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by J. S. Milne
Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.
by Pavel Etingof - Massachusetts Institute of Technology
These are notes of a mini-course of group theory for high school students. This course covers the most basic parts of group theory with many applications. The notes contain many exercises, which are necessary for understanding the main text.
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.
by David M. Goldschmidt - American Mathematical Society
The book covers a set of interrelated topics, presenting a self-contained exposition of the algebra behind the Jones polynomial along with various excursions into related areas. Directed at graduate students and mathematicians.