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.
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Additional resources for Abelian Groups (Springer Monographs in Mathematics)
Abelian Groups (Springer Monographs in Mathematics) by László Fuchs