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