By László Fuchs

Written by means of one of many subject’s top-rated specialists, this booklet specializes in the crucial advancements and smooth equipment of the complex conception of abelian teams, whereas last available, as an advent and reference, to the non-specialist. It presents a coherent resource for effects scattered during the examine literature with plenty of new proofs.

The presentation highlights significant traits that experience significantly replaced the trendy personality of the topic, particularly, using homological tools within the constitution concept of varied periods of abelian teams, and using complicated set-theoretical equipment within the learn of un decidability difficulties. The remedy 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 pattern contains an intensive (but non-exhaustive) examine of p-groups, torsion-free teams, combined teams and significant sessions of teams bobbing up from ring thought. to arrange the reader to take on those subject matters, the publication stories the basics of abelian staff concept and offers a few historical past fabric from type idea, set concept, 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 themes. a listing of open difficulties and questions, in every one bankruptcy, invite the reader to take an lively half within the subject’s extra development.

Show description

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

Similar group theory books

Download PDF by Helmut Koch,F. Lemmermeyer: Galois Theory of p-Extensions (Springer Monographs in

Helmut Koch's vintage is now on hand in English. effectively translated by means of Franz Lemmermeyer, it introduces the speculation of pro-p teams and their cohomology. The publication features a postscript at the fresh improvement of the sphere written by means of H. Koch and F. Lemmermeyer, besides many extra contemporary references.

New PDF release: Noncommutative Dynamics and E-Semigroups (Springer

This ebook introduces the inspiration of an E-semigroup, a generalization of the recognized notion of E_O-semigroup. those gadgets are households of endomorphisms of a von Neumann algebra enjoyable sure common algebraic and continuity stipulations. Its thorough process is perfect for graduate scholars and learn mathematicians.

Recent Progress in General Topology III by K.P. Hart,Jan van Mill,P Simon PDF

The booklet offers surveys describing fresh advancements in many of the basic subfields of normal Topology, and its functions to Algebra and research over the last decade, following the former versions (North Holland, 1992 and 2002). The ebook was once ready in reference to the Prague Topological Symposium, held in 2011.

Download PDF by Vincent Franjou,Antoine Touzé: Lectures on Functor Homology (Progress in Mathematics)

This booklet contains a sequence of lectures that explores 3 assorted fields during which functor homology (short for homological algebra in functor different types) has lately performed an important position. for every of those purposes, the functor standpoint offers either crucial insights and new tools for tackling tough mathematical difficulties.

Additional resources for Abelian Groups (Springer Monographs in Mathematics)

Sample text

Download PDF sample

Abelian Groups (Springer Monographs in Mathematics) by László Fuchs

by Edward

Rated 4.64 of 5 – based on 30 votes