1.

Record Nr.

UNINA9910781986803321

Autore

Klopsch Benjamin

Titolo

Lectures on profinite topics in group theory / / Benjamin Klopsch, Nikolay Nikolov, Christopher Voll ; edited by Dan Segal [[electronic resource]]

Pubbl/distr/stampa

Cambridge : , : Cambridge University Press, , 2011

ISBN

1-107-22127-7

1-139-23507-9

1-283-29857-0

1-139-12334-3

9786613298577

0-511-79383-9

1-139-11759-9

1-139-12825-6

1-139-11323-2

1-139-11542-1

Descrizione fisica

1 online resource (ix, 147 pages) : digital, PDF file(s)

Collana

London Mathematical Society student texts ; ; 77

Disciplina

512/.2

Soggetti

Profinite groups

Group theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

An introduction to compact p-adic Lie groups / Benjamin Klopsch -- Strong approximation methods / Nikolay Nikolov -- A newcomer's guide to zeta functions of groups and rings / Christopher Voll.

Sommario/riassunto

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.