By Moshe Jarden
Read or Download Algebraic Patching (Springer Monographs in Mathematics) PDF
Best group theory books
The e-book is meant for graduate scholars of theoretical physics (with a history in quantum mechanics) in addition to researchers drawn to functions of Lie team concept and Lie algebras in physics. The emphasis is at the inter-relations of illustration theories of Lie teams and the corresponding Lie algebras.
The speculation of finite fields is a department of algebra that has come to the fore due to its varied purposes in such components as combinatorics, coding conception and the mathematical research of switching ciruits. This e-book is dedicated completely to the speculation of finite fields, and it presents accomplished insurance of the literature.
The research of sturdy teams connects version concept, algebraic geometry and workforce idea. It analyses teams which own a definite very basic dependence relation (Shelah's thought of 'forking'), and attempts to derive structural homes 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).
This book's objective is to make obtainable suggestions for learning Whitehead teams of finite teams, in addition to quite a few similar subject matters akin to induction concept and p-adic logarithms. the writer has incorporated a long advent to set the scene for non-specialists who wish an outline of the sphere, its background and its functions.
Additional resources for Algebraic Patching (Springer Monographs in Mathematics)