By László Fuchs
Written by way of one of many subject’s most advantageous specialists, this publication specializes in the important advancements and glossy equipment of the complicated idea of abelian teams, whereas ultimate obtainable, as an creation and reference, to the non-specialist. It presents a coherent resource for effects scattered through the study literature with plenty of new proofs.
The presentation highlights significant developments that experience considerably replaced the fashionable personality of the topic, particularly, using homological tools within the constitution idea of assorted sessions of abelian teams, and using complex set-theoretical tools within the examine 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 pattern contains an intensive (but non-exhaustive) research of p-groups, torsion-free teams, combined teams and significant periods of teams coming up from ring idea. to arrange the reader to take on those subject matters, the e-book studies the basics of abelian crew concept and gives a few history fabric from classification idea, set idea, topology and homological algebra.
An abundance of workouts are integrated 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 every 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
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