A course in the theory of groups. 2nd ed. (English) Zbl 0836.20001

Graduate Texts in Mathematics. 80. New York, NY: Springer-Verlag. xvii, 499 p. (1995).
See the extensive review by Gh. Pic of the first edition (1982) in Zbl 0483.20001.
From the preface to the second edition: There are three main additions to the book. In the chapter on group extensions an exposition of Schreier’s concrete approach via factor sets is given before the introduction of covering groups. This seemed to be desirable on pedagogical grounds. Then S. Thomas’s elegant proof of the automorphism tower theorem is included in the section on complete groups. Finally an elementary counterexample to the Burnside problem due to N. D. Gupta has been added in the chapter on finiteness properties.


20-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
20Exx Structure and classification of infinite or finite groups
20Fxx Special aspects of infinite or finite groups


Zbl 0483.20001