An Introduction to the Theory of Groups of Finite Order
by Harold Hilton
Publisher: Oxford Clarendon Press 1908
Number of pages: 260
This book aims at introducing the reader to more advanced treatises and original papers on Groups of finite order. The subject requires for its study only an elementary knowledge of Algebra (especially Theory of Numbers), but the average student may nevertheless find the many excellent existing treatises rather stiff reading. I have tried to lighten for him the initial difficulties, and to show that even the most recent developments of pure Mathematics are not necessarily beyond the reach of the ordinary mathematical reader.
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by Dave Witte Morris - arXiv
This revised version of a book in progress on arithmetic groups and locally symmetric spaces contains several additional chapters, including the proofs of three major theorems of G. A. Margulis (superrigidity, arithmeticity, and normal subgroups).
by Christopher Pope - Texas A&M University
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.
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.
by Alexander Kleshchev - University of Oregon
Contents: General Algebra; Commutative Algebra; Affine and Projective Algebraic Sets; Varieties; Morphisms; Tangent spaces; Complete Varieties; Basic Concepts; Lie algebra of an algebraic group; Quotients; Semisimple and unipotent elements; etc.