New Horizons in pro-p Groups

A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research 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.

Info autore

Marcus du Sautoy ist Professor für Mathematik an der Universität von Oxford und Research Fellow der Royal Society. Seine in der Times erscheinenden und von der BBC ausgestrahlten Beiträge über mathematische Fragen erfreuen sich großer Beliebtheit.

Aner Shalev wurde 1958 im Kibbuz Kinneret geboren. Er studierte Mathematik und Philosophie an der Hebrew University of Jerusalem, an der er heute lehrt.

Dettagli sul prodotto

• Autori: Marcus du Sautoy
• Con la collaborazione di: Marcus du Sautoy (Editore), Dan Segal (Editore), Aner Shalev (Editore), Marcus du Sautoy (Editore), Da Segal (Editore)
• Editore: Springer, Berlin
• Contenuto: Libro
• Forma del prodotto: Tascabile
• Data pubblicazione: 30.01.2013
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra
• EAN: 9781461271222
• ISBN: 978-1-4612-7122-2
• Numero di pagine: 426
• Illustrazioni: XIII, 426 p.
• Dimensioni (della confezione): 15.8 x 2.4 x 23.8 cm
• Peso (della confezione): 676 g
• Serie: Progress in Mathematics > .184; Progress in Mathematics > 184
• Categorie: Zahlentheorie, Algebra, Function, Gruppen und Gruppentheorie, Mathematische Analysis, allgemein, Lie, Topology, finite, Grouptheory, algebraicnumbertheory, numbertheory, finiteandinfinitegrouptheory, topologyofLiegroups