By László Fuchs
Written by way of one of many subject’s most well known specialists, this booklet specializes in the imperative advancements and sleek equipment of the complex conception of abelian teams, whereas ultimate available, as an advent and reference, to the non-specialist. It offers a coherent resource for effects scattered through the study literature with plenty of new proofs.
The presentation highlights significant tendencies that experience greatly replaced the trendy personality of the topic, particularly, using homological tools within the constitution conception of varied sessions of abelian teams, and using complicated set-theoretical tools within the research of un decidability difficulties. The therapy of the latter pattern contains Shelah’s seminal paintings at the un decidability in ZFC of Whitehead’s challenge; whereas the remedy of the previous development comprises an in depth (but non-exhaustive) research of p-groups, torsion-free teams, combined teams and critical periods of teams coming up from ring thought. to arrange the reader to take on those themes, the booklet stories the basics of abelian workforce thought and offers a few heritage fabric from class conception, set conception, topology and homological algebra.
An abundance of workouts are incorporated to check the reader’s comprehension, and to discover noteworthy extensions and similar sidelines of the most themes. an inventory of open difficulties and questions, in each one bankruptcy, invite the reader to take an energetic half within the subject’s additional development.
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Abelian Groups (Springer Monographs in Mathematics) by László Fuchs