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Lectures on Profinite Topics in Group Theory

2011-02-10 Mathematics
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Release : 2011-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 658/5 ( reviews)

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Book Synopsis Lectures on Profinite Topics in Group Theory by : Benjamin Klopsch

Download or read book Lectures on Profinite Topics in Group Theory written by Benjamin Klopsch. This book was released on 2011-02-10. Available in PDF, EPUB and Kindle. Book excerpt: In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. The final chapter provides an overview of zeta functions associated to groups and rings. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.

Lectures on Profinite Topics in Group Theory

2011-02-10 Mathematics
Download Lectures on Profinite Topics in Group Theory PDF Online Free

Author :
Release : 2011-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 017/5 ( reviews)

GET EBOOK


Book Synopsis Lectures on Profinite Topics in Group Theory by : Benjamin Klopsch

Download or read book Lectures on Profinite Topics in Group Theory written by Benjamin Klopsch. This book was released on 2011-02-10. Available in PDF, EPUB and Kindle. Book excerpt: 'In this book, three authors introduce readers to strong approximation methods, analytic pro-p groups and zeta functions of groups. Each chapter illustrates connections between infinite group theory, number theory and Lie theory. The first introduces the theory of compact p-adic Lie groups. The second explains how methods from linear algebraic groups can be utilised to study the finite images of linear groups. Derived from an LMS/EPSRC Short Course for graduate students, this book provides a concise introduction to a very active research area and assumes less prior knowledge than existing monographs or original research articles. Accessible to beginning graduate students in group theory, it will also appeal to researchers interested in infinite group theory and its interface with Lie theory and number theory.'

Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll

2014-05-14 Group theory
Download Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll PDF Online Free

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Release : 2014-05-14
Genre : Group theory
Kind : eBook
Book Rating : 254/5 ( reviews)

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Book Synopsis Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll by : Benjamin Klopsch

Download or read book Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll written by Benjamin Klopsch. This book was released on 2014-05-14. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to three key aspects of current research in infinite group theory, suitable for graduate students.

Profinite Groups

1998-10-01 Mathematics
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Release : 1998-10-01
Genre : Mathematics
Kind : eBook
Book Rating : 217/5 ( reviews)

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Book Synopsis Profinite Groups by : John S. Wilson

Download or read book Profinite Groups written by John S. Wilson. This book was released on 1998-10-01. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to be dedicated entirely to profinite groups, an area of algebra with important links to number theory and other areas of mathematics. It provides a comprehensive overview of the subject; prerequisite knowledge is kept to a minimum, and several major theorems are presented in an accessible form. The book would provide a valuable introduction for postgraduate students, or form a useful reference for researchers in other areas. The first few chapters lay the foundations and explain the role of profinite groups in number theory. Later chapters explore various aspects of profinite groups in more detail; these contain accessible and lucid accounts of many major theorems. Prerequisites are kept to a minimum with the basic topological theory summarized in an introductory chapter.

Finite Geometry and Combinatorial Applications

2015-06-26 Mathematics
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Release : 2015-06-26
Genre : Mathematics
Kind : eBook
Book Rating : 044/5 ( reviews)

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Book Synopsis Finite Geometry and Combinatorial Applications by : Simeon Ball

Download or read book Finite Geometry and Combinatorial Applications written by Simeon Ball. This book was released on 2015-06-26. Available in PDF, EPUB and Kindle. Book excerpt: The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.

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