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  3. Analytic Pro-P Groups
  • Cited by 249
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      December 2009
      August 1999
      ISBN:
      9780511470882
      9780521542180
      DOI:
      https://doi.org/10.1017/CBO9780511470882
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.6kg, 388 Pages
      • Subjects:
      Mathematics (general), Mathematics, Algebra
      Series:
      Cambridge Studies in Advanced Mathematics (61)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Algebra
    Series:
    Cambridge Studies in Advanced Mathematics (61)
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    Book description

    The first edition of this book was the indispensable reference for researchers in the theory of pro-p groups. In this second edition the presentation has been improved and important new material has been added. The first part of the book is group-theoretic. It develops the theory of pro-p groups of finite rank, starting from first principles and using elementary methods. Part II introduces p-adic analytic groups: by taking advantage of the theory developed in Part I, it is possible to define these, and derive all the main results of p-adic Lie theory, without having to develop any sophisticated analytic machinery. Part III, consisting of new material, takes the theory further. Among those topics discussed are the theory of pro-p groups of finite coclass, the dimension subgroup series, and its associated graded Lie algebra. The final chapter sketches a theory of analytic groups over pro-p rings other than the p-adic integers.

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