Titlebook: New Horizons in pro-p Groups; Marcus Sautoy,Dan Segal,Aner Shalev Book 2000 Springer Science+Business Media New York 2000 Finite.Group the

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Subgroup Growth in pro-, Groups,y generated, either as an abstract or as a profinite group, then ... finite. The study of the series ..., a subject that is known as .,was begun by Hurwitz in the 19th century, with geometric motivation, and has become an active area of research in recent years. Let us mention, e.g., that a pro-. Gr

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Zeta Functions of Groups,re an uncannily powerful tool in number theory; to mention just some celebrated examples, they are at the heart of the proofs of the Prime Number Theorem, Dirichlet’s theorem on primes in arithmetic progressions, and the main theorems (in their original form) of class field theory, not to mention th

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,-adic Galois Representations and pro-, Galois Groups,ation passes in both directions. Algebraic geometry, for instance in the guise of elliptic curves and modular forms, yields naturally occurring Galois representations, whereas on the other side, co-homological techniques and variants on class field theory tell us about the generators and relations o

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Book 2000 must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

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0743-1643 written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.978-1-4612-7122-2978-1-4612-1380-2Series ISSN 0743-1643 Series E-ISSN 2296-505X

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