By László Fuchs
Written by means of one of many subject’s most well known specialists, this ebook specializes in the crucial advancements and smooth tools of the complicated idea of abelian teams, whereas final obtainable, as an creation 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 developments that experience appreciably replaced the trendy personality of the topic, specifically, using homological tools within the constitution concept of assorted sessions of abelian teams, and using complex set-theoretical tools within the examine 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 remedy of the previous development contains an intensive (but non-exhaustive) learn of p-groups, torsion-free teams, combined teams and significant periods of teams bobbing up from ring thought. to arrange the reader to take on those subject matters, the e-book reports the basics of abelian team conception and gives a few historical past fabric from type concept, set concept, topology and homological algebra.
An abundance of routines are integrated to check the reader’s comprehension, and to discover noteworthy extensions and similar sidelines of the most issues. an inventory 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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