Finite Group Theory

This text for a graduate course in finite group theory begins with a review of group actions and Sylow theory. Writing in a style that attempts to preserve the informal flavor of the classroom, Isaacs (mathematics, University of Wisconsin) covers subnormality, split extensions, commutators, Frobenius actions, and permutation groups. He also covers topics that seldom appear in books, such as the Wielandt automorphism tower theorem and Yoshida’s transfer theory. Many of the book’s proofs contain original ideas, and they are given in complete detail. Chapter problems of different levels of difficulty are included. Readers should have already taken a first-year graduate abstract algebra course covering basics of groups, rings, and fields. An appendix contains most of the assumed material in a condensed form. Annotation ©۲۰۰۸ Book News, Inc., Portland, OR (booknews.com)