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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 30th 2021

    brief category:people-entry for hyperlinking references at group cohomology etc.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorDmitri Pavlov
    • CommentTimeAug 30th 2021

    It’s good to keep in mind that there are certain issues with these books:

    From a MathSciNet review of one of Karpilovsky’s books by Roderick Gow.

    The author of the work under review has become noteworthy in the mathematical community for the remarkable number of research-level books on ring theory, field theory and representation theory of finite groups that he has produced since 1985. In Mathematical Reviews, three of his books were reviewed in 1988, three in 1990, four in 1992, and one in 1993. Some reviewers have drawn attention to certain tendencies apparent in these books, among which we may mention inclusion of large parts of the author’s previous books in his later books, rather faithful reproduction of recent research papers of other authors with only trivial changes of notation and wording, and unnecessarily large numbers of typographical errors. In reviewing this volume, which is part of a multi-volume work on the representation theory of finite groups, we have been greatly struck by the extent to which the three tendencies described above are again apparent and our evaluation of the work has been largely determined by their negative influence.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeAug 30th 2021

    I see. All right.

    • CommentRowNumber4.
    • CommentAuthorzskoda
    • CommentTimeAug 31st 2021

    My memory from about 20 years ago is that the treatment of non-abelian cohomology was indeed quite faithful to the original MacLane’s papers with coauthors in late 1940s where I myself learned the “Schreier’s theory” of nonabeian extensions. I wrote a partial generalization to Hopf algebras in 1997 which was never finished nor published but it is almost literal extension to certain version of the notion of extensions of Hopf algebras by Hopf algebras, which I considered natural at the time.