**Finite Group Schemes**

by Richard Pink

**Publisher**: ETH Zurich 2005**Number of pages**: 78

**Description**:

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.

Download or read it online for free here:

**Download link**

(550KB, PDF)

## Similar books

**An Introduction to Group Theory: Applications to Mathematical Music Theory**

by

**Flor Aceff-Sanchez, et al.**-

**BookBoon**

In this text, a modern presentation of the fundamental notions of Group Theory is chosen, where the language of commutative diagrams and universal properties, so necessary in Modern Mathematics, in Physics and Computer Science, is introduced.

(

**5632**views)

**Theory and Applications of Finite Groups**

by

**G. A. Miller, H. F. Blichfeldt, L. E. Dickson**-

**J. Wiley**

The book presents in a unified manner the more fundamental aspects of finite groups and their applications, and at the same time preserves the advantage which arises when each branch of an extensive subject is written by a specialist in that branch.

(

**3280**views)

**Groups and Semigroups: Connections and Contrasts**

by

**John Meakin**-

**University of Nebraska-Lincoln**

In the present paper, I will discuss some of these connections between group theory and semigroup theory, and I will also discuss some rather surprising contrasts between the theories. I will focus primarily on the theory of inverse semigroups.

(

**4575**views)

**Lie groups and Lie algebras**

by

**N. Reshetikhin, V. Serganova, R. Borcherds**-

**UC Berkeley**

From the table of contents: Tangent Lie algebras to Lie groups; Simply Connected Lie Groups; Hopf Algebras; PBW Theorem and Deformations; Lie algebra cohomology; Engel's Theorem and Lie's Theorem; Cartan Criterion, Whitehead and Weyl Theorems; etc.

(

**7043**views)