By László Fuchs
Written through one of many subject’s most efficient specialists, this e-book specializes in the principal advancements and glossy equipment of the complicated thought of abelian teams, whereas final available, as an advent and reference, to the non-specialist. It presents a coherent resource for effects scattered during the learn literature with plenty of new proofs.
The presentation highlights significant traits that experience significantly replaced the trendy personality of the topic, specifically, using homological tools within the constitution idea of assorted sessions of abelian teams, and using complex set-theoretical equipment within the research of un decidability difficulties. The remedy of the latter development contains Shelah’s seminal paintings at the un decidability in ZFC of Whitehead’s challenge; whereas the therapy of the previous pattern comprises an intensive (but non-exhaustive) examine of p-groups, torsion-free teams, combined teams and critical periods of teams coming up from ring conception. to organize the reader to take on those issues, the publication studies the basics of abelian team conception and gives a few history fabric from type idea, set thought, topology and homological algebra.
An abundance of routines are incorporated 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 every one bankruptcy, invite the reader to take an lively half within the subject’s extra development.
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Abelian Groups (Springer Monographs in Mathematics) by László Fuchs