Fundamentals of Group Theory An Advanced Approach /

• Main Author: Roman, Steven (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2012.
• Edition: 1.
• Subjects: Mathematics.; Algebra.; Group theory.; Ordered algebraic structures.; Group Theory and Generalizations.; Order, Lattices, Ordered Algebraic Structures.

Fundamentals of Group Theory provides an advanced look at the basic theory of groups. Standard topics in the field are covered alongside a great deal of unique content. There is an emphasis on universality when discussing the isomorphism theorems, quotient groups and free groups as well as a focus o...

Table of Contents:

• Preliminaries
• Groups and Subgroups
• Cosets, Index and Normal Subgroups
• Homomorphisms
• Chain Conditions and Subnormality
• Direct and Semidirect Products
• Permutation Groups
• Group Actions
• The Structure of –Groups
• Sylow Theory
• The Classification Problem for Groups
• Finiteness Conditions
• Free Groups and Presentations
• Abelian Groups
• References.