Stable Groups (London Mathematical Society Lecture Note by F. Wagner

By F. Wagner

The research of reliable teams connects version conception, algebraic geometry and staff concept. It analyses teams which own a definite very common dependence relation (Shelah's concept of 'forking'), and attempts to derive structural homes from this. those should be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a gaggle as an algebraic group), or model-theoretic (description of the definable sets). during this booklet, the final thought of sturdy teams is built from the start (including a bankruptcy on preliminaries in workforce concept and version theory), focusing on the version- and group-theoretic facets. It brings jointly many of the extensions of the unique finite rank thought less than a unified standpoint and offers a coherent exposition of the data within the field.

Show description

Read Online or Download Stable Groups (London Mathematical Society Lecture Note Series) PDF

Similar group theory books

Lie Groups and Lie Algebras for Physicists

The e-book is meant for graduate scholars of theoretical physics (with a historical past in quantum mechanics) in addition to researchers attracted to purposes of Lie team conception and Lie algebras in physics. The emphasis is at the inter-relations of illustration theories of Lie teams and the corresponding Lie algebras.

Finite Fields (Encyclopedia of Mathematics and its Applications)

The speculation of finite fields is a department of algebra that has come to the fore due to its diversified functions in such components as combinatorics, coding idea and the mathematical learn of switching ciruits. This publication is dedicated fullyyt to the idea of finite fields, and it offers accomplished assurance of the literature.

Stable Groups (London Mathematical Society Lecture Note Series)

The examine of solid teams connects version concept, algebraic geometry and team thought. It analyses teams which own a undeniable very normal dependence relation (Shelah's suggestion of 'forking'), and attempts to derive structural houses from this. those might be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a gaggle as an algebraic group), or model-theoretic (description of the definable sets).

Whitehead Groups of Finite Groups (London Mathematical Society Lecture Note Series)

This book's target is to make obtainable ideas for learning Whitehead teams of finite teams, in addition to numerous comparable themes similar to induction idea and p-adic logarithms. the writer has incorporated a long creation to set the scene for non-specialists who wish an summary of the sphere, its background and its functions.

Additional info for Stable Groups (London Mathematical Society Lecture Note Series)

Sample text

Download PDF sample

Rated 4.19 of 5 – based on 21 votes