Theory of Groups of Finite Order
by William Burnside
Publisher: Cambridge University Press 1897
Number of pages: 456
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; Abelian groups; groups whose orders are the powers of primes; Sylow's theorem; etc.
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by W. B. V. Kandasamy, F. Smarandache, M. K. Chetry - arXiv
This book defines new classes of groupoids, like matrix groupoid, polynomial groupoid, interval groupoid, and polynomial groupoid. This book introduces 77 new definitions substantiated and described by 426 examples and 150 theorems.
by Frank W. K. Firk - Orange Grove Texts Plus
This is an introduction to group theory, with an emphasis on Lie groups and their application to the study of symmetries of the fundamental constituents of matter. The text was written for seniors and advanced juniors, majoring in the physical sciences.
by Arjeh Cohen, Rosane Ushirobira, Jan Draisma
Symmetry plays an important role in chemistry and physics. Group captures the symmetry in a very efficient manner. We focus on abstract group theory, deal with representations of groups, and deal with some applications in chemistry and physics.
by K. Yosida - Tata Institute of Fundamental Research
In these lectures, we shall be concerned with the differentiability and the representation of one-parameter semi-groups of bounded linear operators on a Banach space and their applications to the initial value problem for differential equations.