By Rudolf Lidl,Harald Niederreiter
Read Online or Download Finite Fields (Encyclopedia of Mathematics and its Applications) PDF
Similar group theory books
The publication is meant for graduate scholars of theoretical physics (with a heritage in quantum mechanics) in addition to researchers drawn to purposes of Lie crew conception and Lie algebras in physics. The emphasis is at the inter-relations of illustration theories of Lie teams and the corresponding Lie algebras.
The idea of finite fields is a department of algebra that has come to the fore as a result of its different functions in such components as combinatorics, coding conception and the mathematical examine of switching ciruits. This booklet is dedicated totally to the speculation of finite fields, and it offers accomplished insurance of the literature.
The examine of solid teams connects version conception, algebraic geometry and team conception. It analyses teams which own a definite very normal dependence relation (Shelah's inspiration of 'forking'), and attempts to derive structural houses from this. those can be group-theoretic (nilpotency or solubility of a given group), algebro-geometric (identification of a bunch as an algebraic group), or model-theoretic (description of the definable sets).
This book's objective is to make obtainable ideas for learning Whitehead teams of finite teams, in addition to various comparable subject matters akin to induction concept and p-adic logarithms. the writer has incorporated a long creation to set the scene for non-specialists who wish an outline of the sphere, its heritage and its functions.
Extra resources for Finite Fields (Encyclopedia of Mathematics and its Applications)