Finite Group Schemes
by Richard Pink
Publisher: ETH Zurich 2005
Number of pages: 78
The aim of the lecture course is the classification of finite commutative group schemes over a perfect field of characteristic p, using the classical approach by contravariant Dieudonne theory. The theory is developed from scratch; emphasis is placed on complete proofs. No prerequisites other than a good knowledge of algebra and the basic properties of categories and schemes are required.
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by J. S. Milne
Contents: Basic Definitions and Results; Free Groups and Presentations; Coxeter Groups; Automorphisms and Extensions; Groups Acting on Sets; The Sylow Theorems; Subnormal Series; Solvable and Nilpotent Groups; Representations of Finite Groups.
by Ferdi Aryasetiawan - University of Lund
The text deals with basic Group Theory and its applications. Contents: Abstract Group Theory; Theory of Group Representations; Group Theory in Quantum Mechanics; Lie Groups; Atomic Physics; The Group SU2: Isospin; The Point Groups; The Group SU3.
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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 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.