Fundamentals of group theory: an advanced approach /
Steven Roman
- New York : Birkhäuser, c2012.
- xii, 380 p. ; 24 cm.
Includes bibliographical references and index.
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