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 Craniopharyngioma by Antonio Machì
Cover of the book Highlights of Pediatric Radiology by Antonio Machì
Cover of the book Advances in Sports Cardiology by Antonio Machì
Cover of the book Modeling of Physiological Flows by Antonio Machì
Cover of the book The Respiratory System in Equations by Antonio Machì
Cover of the book Non Invasive Artificial Ventilation by Antonio Machì
Cover of the book MDCT and MRI in Genitourinary Imaging by Antonio Machì
Cover of the book Pneumological Aspects of Gastroesophageal Reflux by Antonio Machì
Cover of the book Peripherally Inserted Central Venous Catheters by Antonio Machì
Cover of the book Infection Control in the Intensive Care Unit by Antonio Machì
Cover of the book Lunar Domes by Antonio Machì
Cover of the book Strategy for Action – I by Antonio Machì
Cover of the book Hemangiomas and Vascular Malformations by Antonio Machì
Cover of the book Neonatology by Antonio Machì
Cover of the book Spinal Meningiomas 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