Lectures on Profinite Topics in Group Theory

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

Lectures on Profinite Topics in Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Profinite Topics in Group Theory write by Benjamin Klopsch. This book was released on 2011-02-10. Lectures on Profinite Topics in Group Theory available in PDF, EPUB and Kindle. 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

Download Lectures on Profinite Topics in Group Theory PDF Online Free

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

Lectures on Profinite Topics in Group Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Profinite Topics in Group Theory write by Benjamin Klopsch. This book was released on 2011-02-10. Lectures on Profinite Topics in Group Theory available in PDF, EPUB and Kindle. '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

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
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Book Rating : 254/5 ( reviews)

Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll write by Benjamin Klopsch. This book was released on 2014-05-14. Lectures on Profinite Topics in Group Theory. by Benjamin Klopsch, Nikolay Nikolov, Christopher Voll available in PDF, EPUB and Kindle. An introduction to three key aspects of current research in infinite group theory, suitable for graduate students.

Profinite Groups

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

Profinite Groups - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Profinite Groups write by John S. Wilson. This book was released on 1998-10-01. Profinite Groups available in PDF, EPUB and Kindle. 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.

Lectures on Lagrangian Torus Fibrations

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Release : 2023-07-20
Genre : Mathematics
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Book Rating : 661/5 ( reviews)

Lectures on Lagrangian Torus Fibrations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lectures on Lagrangian Torus Fibrations write by Jonny Evans. This book was released on 2023-07-20. Lectures on Lagrangian Torus Fibrations available in PDF, EPUB and Kindle. Symington's almost toric fibrations have played a central role in symplectic geometry over the past decade, from Vianna's discovery of exotic Lagrangian tori to recent work on Fibonacci staircases. Four-dimensional spaces are of relevance in Hamiltonian dynamics, algebraic geometry, and mathematical string theory, and these fibrations encode the geometry of a symplectic 4-manifold in a simple 2-dimensional diagram. This text is a guide to interpreting these diagrams, aimed at graduate students and researchers in geometry and topology. First the theory is developed, and then studied in many examples, including fillings of lens spaces, resolutions of cusp singularities, non-toric blow-ups, and Vianna tori. In addition to the many examples, students will appreciate the exercises with full solutions throughout the text. The appendices explore select topics in more depth, including tropical Lagrangians and Markov triples, with a final appendix listing open problems. Prerequisites include familiarity with algebraic topology and differential geometry.