By László Fuchs
Written via one of many subject’s superior specialists, this ebook makes a speciality of the vital advancements and glossy tools of the complex conception of abelian teams, whereas closing obtainable, as an advent and reference, to the non-specialist. It offers a coherent resource for effects scattered during the study literature with plenty of new proofs.
The presentation highlights significant traits that experience considerably replaced the trendy personality of the topic, specifically, using homological equipment within the constitution concept of varied sessions of abelian teams, and using complex set-theoretical equipment within the examine of un decidability difficulties. The therapy of the latter development contains Shelah’s seminal paintings at the un decidability in ZFC of Whitehead’s challenge; whereas the remedy of the previous pattern comprises an in depth (but non-exhaustive) learn of p-groups, torsion-free teams, combined teams and significant sessions of teams coming up from ring conception. to arrange the reader to take on those issues, the publication experiences the basics of abelian crew idea and offers a few historical past fabric from type conception, set idea, topology and homological algebra.
An abundance of workouts are integrated to check the reader’s comprehension, and to discover noteworthy extensions and similar sidelines of the most subject matters. a listing of open difficulties and questions, in each one bankruptcy, invite the reader to take an lively half within the subject’s additional development.
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Abelian Groups (Springer Monographs in Mathematics) by László Fuchs