Groups An Introduction to Ideas and Methods of the Theory of Groups /

• Main Author: Machì, Antonio (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Milano : Springer Milan : Imprint: Springer, 2012.
• Series: UNITEXT,
• Subjects: Mathematics.; Algebra.; Commutative algebra.; Commutative rings.; Group theory.; Group Theory and Generalizations.; Commutative Rings and Algebras.

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....

Table of Contents:

• Normal Subgroups, Conjugation and Isomorphism Theorems
• Group Actions and Permutation Groups
• Generators and Relations
• Nilpotent Groups and Solvable Groups
• Representations
• Extensions and Cohomology
• Solution to the exercises.