Download e-book for kindle: Abelian Groups (Springer Monographs in Mathematics) by László Fuchs

By László Fuchs

Written by means of one of many subject’s greatest specialists, this ebook makes a speciality of the relevant advancements and smooth equipment of the complex concept of abelian teams, whereas closing obtainable, as an advent and reference, to the non-specialist. It presents a coherent resource for effects scattered in the course of the learn literature with plenty of new proofs.

The presentation highlights significant developments that experience greatly replaced the trendy personality of the topic, particularly, using homological tools within the constitution concept of assorted periods of abelian teams, and using complicated set-theoretical tools within the research of un decidability difficulties. The therapy of the latter development comprises Shelah’s seminal paintings at the un decidability in ZFC of Whitehead’s challenge; whereas the therapy of the previous development contains an in depth (but non-exhaustive) learn of p-groups, torsion-free teams, combined teams and significant periods of teams coming up from ring concept. to arrange the reader to take on those subject matters, the ebook stories the basics of abelian staff idea and offers a few heritage fabric from type idea, set thought, topology and homological algebra.

An abundance of workouts are incorporated to check the reader’s comprehension, and to discover noteworthy extensions and comparable sidelines of the most subject matters. a listing of open difficulties and questions, in each one bankruptcy, invite the reader to take an energetic half within the subject’s extra development.

Show description

Read or Download Abelian Groups (Springer Monographs in Mathematics) PDF

Similar group theory books

New PDF release: Commutative Harmonic Analysis IV: Harmonic Analysis in Rn

With the foundation laid within the first quantity (EMS 15) of the Commutative Harmonic research subseries of the Encyclopaedia, the current quantity takes up 4 complicated subject matters within the topic: Littlewood-Paley idea for singular integrals, unheard of units, a number of Fourier sequence and a number of Fourier integrals.

Read e-book online Reflections on Quanta, Symmetries, and Supersymmetries PDF

This can be a choice of essays in line with lectures that writer has given on a number of events on starting place of quantum idea, symmetries and illustration idea, and the quantum conception of the superworld created by means of physicists. The lectures are associated via a unifying subject matter: how the quantum global and superworld seem lower than the lens of symmetry and supersymmetry.

Get The Theory of Fusion Systems: An Algebraic Approach PDF

Fusion platforms are a up to date improvement in finite crew conception and take a seat on the intersection of algebra and topology. This booklet is the 1st to deal comprehensively with this new and increasing box, taking the reader from the fundamentals of the speculation correct to the cutting-edge. 3 motivational chapters, indicating the interplay of fusion and fusion structures in workforce conception, illustration conception and topology are by way of six chapters that discover the speculation of fusion platforms themselves.

Download PDF by Piotr A. Krylov,Askar A. Tuganbaev: Modules over Discrete Valuation Domains (De Gruyter

This publication offers the 1st systematic therapy of modules over discrete valuation domain names which performs a big function in a variety of components of algebra, in particular in commutative algebra. Many very important effects representing the state-of-the-art are provided within the textual content that's supplemented by way of routines and engaging open difficulties.

Extra info for Abelian Groups (Springer Monographs in Mathematics)

Sample text

Download PDF sample

Abelian Groups (Springer Monographs in Mathematics) by László Fuchs

by Edward

Rated 4.85 of 5 – based on 21 votes