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

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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.

Lectures on Profinite Topics in Group Theory

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Release : 2011-02-10
Genre : Mathematics
Kind : eBook
Book Rating : 017/5 ( 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. 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 : 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 Lagrangian Torus Fibrations

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

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Book Synopsis Lectures on Lagrangian Torus Fibrations by : Jonny Evans

Download or read book Lectures on Lagrangian Torus Fibrations written by Jonny Evans. This book was released on 2023-07-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topics in Cyclic Theory

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Release : 2020-07-09
Genre : Mathematics
Kind : eBook
Book Rating : 618/5 ( reviews)

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Book Synopsis Topics in Cyclic Theory by : Daniel G. Quillen

Download or read book Topics in Cyclic Theory written by Daniel G. Quillen. This book was released on 2020-07-09. Available in PDF, EPUB and Kindle. Book excerpt: This accessible introduction for Ph.D. students and non-specialists provides Quillen's unique development of cyclic theory.

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