László Fuchs's Abelian Groups (Springer Monographs in Mathematics) PDF

April 21, 2018 | Group Theory | By admin | 0 Comments

By László Fuchs

ISBN-10: 1483233332

ISBN-13: 9781483233338

ISBN-10: 3319194216

ISBN-13: 9783319194219

Written by means of one of many subject’s ultimate specialists, this publication makes a speciality of the principal advancements and glossy tools 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 through the examine literature with plenty of new proofs.

The presentation highlights significant tendencies that experience significantly replaced the fashionable personality of the topic, specifically, using homological equipment within the constitution concept of varied periods of abelian teams, and using complicated set-theoretical tools within the research of un decidability difficulties. The remedy 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 comprises an in depth (but non-exhaustive) examine of p-groups, torsion-free teams, combined teams and significant periods of teams coming up from ring conception. to organize the reader to take on those subject matters, the publication experiences the basics of abelian team idea and gives a few historical past fabric from class concept, set idea, 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. a listing of open difficulties and questions, in each one bankruptcy, invite the reader to take an lively half within the subject’s additional development.

Show description

Read or Download Abelian Groups (Springer Monographs in Mathematics) PDF

Similar group theory books

Yichao Xu's Theory of Complex Homogeneous Bounded Domains: 569 PDF

Thought of complicated Homogeneous Bounded domain names reports the class and serve as thought of advanced homogeneous bounded domain names systematically for the 1st time. within the booklet, the Siegel domain names are mentioned intimately. Proofs are given for 1: each homogeneous bounded area is holomorphically isomorphic to a homogeneous Siegel area, and a couple of: each homogeneous Siegel area is affine isomorphic to a regular Siegel area.

Download PDF by Jacek Banasiak,Luisa Arlotti: Perturbations of Positive Semigroups with Applications

This e-book bargains generally with modelling platforms that fluctuate with time. The evolution equations that it describes are available in a few program parts, similar to kinetics, fragmentation concept and mathematical biology. this can be the 1st self-contained account of the area.

Download e-book for iPad: Quantum Theory for Mathematicians (Graduate Texts in by Brian Hall

Even if rules from quantum physics play a massive function in lots of elements of contemporary arithmetic, there are few books approximately quantum mechanics geared toward mathematicians. This e-book introduces the most rules of quantum mechanics in language conventional to mathematicians. Readers with little previous publicity to physics will benefit from the book's conversational tone as they delve into such issues because the Hilbert house method of quantum conception; the Schrödinger equation in a single area measurement; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the function of Lie teams and Lie algebras in quantum mechanics; and the path-integral method of quantum mechanics.

Get Computational Invariant Theory (Encyclopaedia of PDF

This e-book is ready the computational facets of invariant idea. Of vital curiosity is the query how the  invariant ring of a given team motion should be calculated. Algorithms for this function shape the most pillars round which the publication is equipped. There are introductory chapters, one on Gröbner foundation tools and one at the simple ideas of invariant concept, which arrange the floor for the algorithms.

Additional info for Abelian Groups (Springer Monographs in Mathematics)

Example text

Download PDF sample

Abelian Groups (Springer Monographs in Mathematics) by László Fuchs


by Michael
4.3

Rated 4.27 of 5 – based on 18 votes