Abelian Groups (Springer Monographs in Mathematics) - download pdf or read online
By László Fuchs
Written by means of one of many subject’s prime specialists, this publication specializes in the relevant advancements and smooth equipment of the complicated conception of abelian teams, whereas last obtainable, as an creation and reference, to the non-specialist. It presents a coherent resource for effects scattered in the course of the examine literature with plenty of new proofs.
The presentation highlights significant traits that experience notably replaced the trendy personality of the topic, specifically, using homological tools within the constitution conception 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 contains Shelah’s seminal paintings at the un decidability in ZFC of Whitehead’s challenge; whereas the therapy of the previous development contains an in depth (but non-exhaustive) learn of p-groups, torsion-free teams, combined teams and significant sessions of teams bobbing up from ring conception. to arrange the reader to take on those issues, the publication experiences the basics of abelian team concept and offers a few heritage fabric from classification thought, set concept, topology and homological algebra.
An abundance of routines are integrated to check the reader’s comprehension, and to discover noteworthy extensions and comparable sidelines of the most issues. an inventory of open difficulties and questions, in each 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