Algebraic Groups, Lie Groups, and their Arithmetic Subgroups
by J. S. Milne
Number of pages: 383
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 that we shall be concerned with in this book can all be realized as groups of matrices.
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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 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 Leila Schneps - Cambridge University Press
This book contains eight articles which focus on presenting recently developed new aspects of the theory of Galois groups and fundamental groups, avoiding classical aspects which have already been developed at length in the standard literature.
by F. J. Yndurain - arXiv
The following notes are the basis for a graduate course. They are oriented towards the application of group theory to particle physics, although some of it can be used for general quantum mechanics. They have no pretense of mathematical rigor.