Groups

An Introduction to Ideas and Methods of the Theory of Groups

Nonfiction, Science & Nature, Mathematics, Group Theory, Algebra
Cover of the book Groups by Antonio Machì, Springer Milan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Antonio Machì ISBN: 9788847024212
Publisher: Springer Milan Publication: April 5, 2012
Imprint: Springer Language: English
Author: Antonio Machì
ISBN: 9788847024212
Publisher: Springer Milan
Publication: April 5, 2012
Imprint: Springer
Language: English

Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided.

More books from Springer Milan

Cover of the book Sudden Cardiac Death in the Young and Athletes by Antonio Machì
Cover of the book The Axis Vertebra by Antonio Machì
Cover of the book A Guide to Neonatal and Pediatric ECGs by Antonio Machì
Cover of the book Pancreatic Cystic Neoplasms by Antonio Machì
Cover of the book The Theory of Evolution and Its Impact by Antonio Machì
Cover of the book Diseases of the Heart, Chest & Breast 2011-2014 by Antonio Machì
Cover of the book New Business Models and Value Creation: A Service Science Perspective by Antonio Machì
Cover of the book Analysis and Numerics of Partial Differential Equations by Antonio Machì
Cover of the book Behçet's Syndrome by Antonio Machì
Cover of the book World Federation of Societies of Anaesthesiologists 50 Years by Antonio Machì
Cover of the book Articular Cartilage Defects of the Knee by Antonio Machì
Cover of the book Contrast-Enhanced Ultrasound of Liver Diseases by Antonio Machì
Cover of the book New Challenges for Cancer Systems Biomedicine by Antonio Machì
Cover of the book The Globesity Challenge to General Surgery by Antonio Machì
Cover of the book Delineating Organs at Risk in Radiation Therapy by Antonio Machì
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy