Theory and Applications of Finite Groups
by G. A. Miller, H. F. Blichfeldt, L. E. Dickson
Publisher: J. Wiley 1916
Number of pages: 424
The aim of this book is to present in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time to preserve the advantage which arises when each branch of an extensive subject is written by one who has long specialized in that branch.
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by Wilberd van der Kallen - Springer
The course given by the author in 1992 explains the solution by O. Mathieu of some conjectures in the representation theory of arbitrary semisimple algebraic groups. The conjectures concern filtrations of 'standard' representations.
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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.
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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.