Text

Abelian Groups

---

Written by one of the subject’s foremost experts, this book focuses on the central developments and modern methods of the advanced theory of abelian groups, while remaining accessible, as an introduction and reference, to the non-specialist. It provides a coherent source for results scattered throughout the research literature with lots of new proofs.

The presentation highlights major trends that have radically changed the modern character of the subject, in particular, the use of homological methods in the structure theory of various classes of abelian groups, and the use of advanced set-theoretical methods in the study of un decidability problems. The treatment of the latter trend includes Shelah’s seminal work on the un decidability in ZFC of Whitehead’s Problem; while the treatment of the former trend includes an extensive (but non-exhaustive) study of p-groups, torsion-free groups, mixed groups and important classes of groups arising from ring theory. To prepare the reader to tackle these topics, the book reviews the fundamentals of abelian group theory and provides some background material from category theory, set theory, topology and homological algebra.

An abundance of exercises are included to test the reader’s comprehension, and to explore noteworthy extensions and related sidelines of the main topics. A list of open problems and questions, in each chapter, invite the reader to take an active part in the subject’s further development.

---

Availability

No copy data

Detail Information

Series Title

Springer Monographs in Mathematics

Call Number

512.2 FUC a

Publisher

Cham : Springer., 2015

Collation

XXI, 747

Language

English

ISBN/ISSN

978-3-319-19422-6

Classification

512.2

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

Ed. 1

Subject(s)

Group Theory and Generalizations
Homological Algebra

Specific Detail Info

-

Statement of Responsibility

László Fuchs

Other Information

Cataloger

umi

Source

https://link.springer.com/content/pdf/10.1007/978-3-319-19422-6.pdf?pdf=button

Validator

-

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment