Profinite Groups

Inverse and Direct Limits.- Profinite Groups.- Free Profinite Groups.- Some Special Profinite Groups.- Discrete and Profinite Modules.- Homology and Cohomology of Profinite Groups.- Cohomological Dimension.- Normal Subgroups of Free Pro?-? Groups.- Free Constructions of Profinite Groups.

"The book has an extensive bibliography, which appears to be remarkably complete, up to the very recent developments. An excellent guide to this vast amount of literature is provided by the closing sections of each chapter ... . the many important and current topics dealt with here are treated with admirable completeness and clarity ... . The book is very valuable as a reference work, and offers several excellent choices as a textbook for a graduate course." (A.Caranti, zbMATH 0949.20017, 2022)

From the reviews of the second edition:

"In this book, Ribes and Zalesskii survey the general theory of profinite groups ... . They cover all the important examples and do a particularly fine job of explaining the representation theory and the cohomology theory of profinite groups. ... Each chapter concludes with an extensive section of notes, including recent developments and open questions. ... It will be extremely useful to researchers in field and even more so to those who (like me) use profinite groups in their own work." (Fernando Q. Gouvêa, The Mathematical Association of America, August, 2010)

"This valuable book works well both as an introduction to the subject of profinite groups, and as a reference for some specific areas. This second edition presents an updated and enlarged bibliography. More open questions have been added, and solutions are provided for the problems from the previous edition that have been settled since." (A. Caranti, Zentralblatt MATH, Vol. 1197, 2010)