Analytic Pro-P Groups
2nd Revised edition
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Analytic Pro-P Groups by John D. Dixon
Book DescriptionThe 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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Book DetailsISBN: 9780521542180
(228mm x 152mm x 22mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 18-Sep-2003
Country of Publication: United Kingdom
Books By Author John D. Dixon
Problems in Group Theory, Paperback (February 2007)
265 challenging problems in all phases of group theory, gathered for the most part from papers published since 1950, although some classics are included.
Permutation Groups, Hardback (April 1996)» View all books by John D. Dixon
Using basic ideas and examples in the theory of permutation groups, this book develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the O'Nan-Scott Theorem, linking finite primitive groups and finite simple groups.
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