Ebook: An Introduction to Groups and Lattices: Finite Groups and Positive Definite Rational Lattices

Rational lattices occur throughout mathematics, as in quadratic forms, sphere packing, Lie theory, and integral representations of finite groups. Studies of high-dimensional lattices typically involve number theory, linear algebra, codes, combinatorics, and groups. This book presents a basic introduction to rational lattices and finite groups, and to the deep relationship between these two theories.