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 John Meakin - University of Nebraska-Lincoln
In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.
by P. J. Higgins - Van Nostrand Reinhold
A self-contained account of the elementary theory of groupoids and some of its uses in group theory and topology. Category theory appears as a secondary topic whenever it is relevant to the main issue, and its treatment is by no means systematic.
by William Burnside - Cambridge University Press
After introducing permutation notation and defining group, the author discusses the simpler properties of group that are independent of their modes of representation; composition-series of groups; isomorphism of a group with itself; etc.
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).