Group theory for Maths, Physics and Chemistry
by Arjeh Cohen, Rosane Ushirobira, Jan Draisma
Number of pages: 93
Symmetry plays an important role in chemistry and physics, both at the macroscopic and the microscopic level. Group theory is an abstract setting capturing the symmetry in a very efficient manner, which helps to make computations more efficient. We focus on abstract group theory, deal with representations of groups by means of permutations and by means of matrices, and deal with some applications in chemistry and physics.
Home page url
Download or read it online for free here:
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 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 E. Lee Lady - University of Hawaii
Contents: Modules Over Commutative Rings; Fundamentals; Rank-one Modules and Types; Quasi-Homomorphisms; The t-Socle and t-Radical; Butler Modules; Splitting Rings and Splitting Fields; Torsion Free Rings; Quotient Divisible Modules; etc.
by W. B. V. Kandasamy, F. Smarandache - CuArt
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.