Cargando…
Lectures on Profinite Topics in Group Theory.
An introduction to three key aspects of current research in infinite group theory, suitable for graduate students.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2011.
|
| Colección: | London Mathematical Society Student Texts, 77.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn769341698 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr |n||||||||| | ||
| 008 | 120907s2011 enk ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d IDEBK |d OCLCQ |d AUD |d OCLCO |d DEBSZ |d OCLCQ |d OCLCF |d N$T |d E7B |d CDX |d YDXCP |d REDDC |d CAMBR |d OCLCQ |d HEBIS |d OCLCO |d OCLCQ |d COCUF |d STF |d CUY |d MERUC |d ZCU |d ICG |d K6U |d LOA |d VT2 |d U3W |d OCLCQ |d WYU |d LVT |d TKN |d DKC |d AU@ |d OCLCQ |d UKAHL |d OCLCQ |d A6Q |d G3B |d OCLCA |d OCLCQ |d UKCRE |d AJS |d OCLCO |d OCLCQ |d OCLCO |d S9M | ||
| 019 | |a 759152343 |a 768770729 |a 817914054 |a 1043236367 |a 1043674355 |a 1066440255 |a 1076644973 |a 1081234083 |a 1152981216 |a 1153534665 |a 1167595490 |a 1228599240 |a 1264758457 | ||
| 020 | |a 9781139117593 | ||
| 020 | |a 1139117599 | ||
| 020 | |a 9781139128254 |q (electronic bk.) | ||
| 020 | |a 1139128256 |q (electronic bk.) | ||
| 020 | |a 9781139115421 | ||
| 020 | |a 1139115421 | ||
| 020 | |a 9780511793837 |q (electronic bk.) | ||
| 020 | |a 0511793839 |q (electronic bk.) | ||
| 020 | |z 9781107005297 | ||
| 020 | |z 1107005299 | ||
| 020 | |z 9780521183017 | ||
| 020 | |z 0521183014 | ||
| 024 | 8 | |a 9786613298577 | |
| 029 | 1 | |a DEBSZ |b 372705383 | |
| 029 | 1 | |a DEBSZ |b 379323176 | |
| 029 | 1 | |a DEBSZ |b 445571349 | |
| 029 | 1 | |a DKDLA |b 820120-katalog:999933579305765 | |
| 035 | |a (OCoLC)769341698 |z (OCoLC)759152343 |z (OCoLC)768770729 |z (OCoLC)817914054 |z (OCoLC)1043236367 |z (OCoLC)1043674355 |z (OCoLC)1066440255 |z (OCoLC)1076644973 |z (OCoLC)1081234083 |z (OCoLC)1152981216 |z (OCoLC)1153534665 |z (OCoLC)1167595490 |z (OCoLC)1228599240 |z (OCoLC)1264758457 | ||
| 037 | |a 329857 |b MIL | ||
| 050 | 4 | |a QA177 .K56 2011 | |
| 072 | 7 | |a MAT |x 014000 |2 bisacsh | |
| 082 | 0 | 4 | |a 512.2 |a 512/.2 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Klopsch, Benjamin. | |
| 245 | 1 | 0 | |a Lectures on Profinite Topics in Group Theory. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2011. | ||
| 300 | |a 1 online resource (160 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a London Mathematical Society Student Texts, 77 ; |v v. 77 | |
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; Editor's introduction; I An introduction to compact p-adic Lie groups; 1 Introduction; 2 From finite p-groups to compact p-adic Lie groups; 2.1 Nilpotent groups; 2.2 Finite p-groups; 2.3 Lie rings; 2.4 Applying Lie methods to groups; 2.5 Absolute values; 2.6 p-adic numbers; 2.7 p-adic integers; 2.8 Preview: p-adic analytic pro-p groups; 3 Basic notions and facts from point-set topology; 4 First series of exercises; 5 Powerful groups, profinite groups and pro-p groups; 5.1 Powerful finite p-groups; 5.2 Profinite groups as Galois groups. | |
| 505 | 8 | |a 5.3 Profinite groups as inverse limits5.4 Profinite groups as profinite completions; 5.5 Profinite groups as topological groups; 5.6 Pro-p groups; 5.7 Powerful pro-p groups; 5.8 Pro-p groups of finite rank -- summary ofcharacterisations; 6 Second series of exercises; 7 Uniformly powerful pro-p groups and Zp-Lie lattices; 7.1 Uniformly powerful pro-p groups; 7.2 Associated additive structure; 7.3 Associated Lie structure; 7.4 The Hausdorff formula; 7.5 Applying the Hausdorff formula; 8 The group GLd(Zp), just-infinite pro-p groups and the Lie correspondence for saturable pro-p groups. | |
| 505 | 8 | |a 8.1 The group GLd(Zp) -- an example8.2 Just-infinite pro-p groups; 8.3 Potent filtrations and saturable pro-p groups; 8.4 Lie correspondence; 9 Third series of exercises; 10 Representations of compact p-adic Lie groups; 10.1 Representation growth and Kirillov's orbit method; 10.2 The orbit method for saturable pro-p groups; 10.3 An application of the orbit method; References for Chapter I; II Strong approximation methods; 1 Introduction; 2 Algebraic groups; 2.1 The Zariski topology on Kn; 2.2 Linear algebraic groups as closed subgroups of GLn(K); Basic examples. | |
| 505 | 8 | |a Basic properties of Algebraic groupsFields of definition and restriction of scalars; The Lie algebra of G; Connection with Lie algebras of locally compact topological groups; 2.3 Semisimple algebraic groups: the classification ofsimply connected algebraic groups over K; 2.4 Reductive groups; 2.5 Chevalley groups; 3 Arithmetic groups and the congruence topology; 3.1 Rings of algebraic integers in number fields; 3.2 The congruence topology on GLn(k) and GLn(O); Valuations of k; 3.3 Arithmetic groups; 4 The strong approximation theorem; 4.1 An aside: Serre's conjecture; 5 Lubotzky's alternative. | |
| 505 | 8 | |a 6 Applications of Lubotzky's alternative6.1 The finite simple groups of Lie type; 6.2 Refinements; 6.3 Normal subgroups of linear groups; 6.4 Representations, sieves and expanders; 7 The Nori -- Weisfeiler theorem; 7.1 Unipotently generated subgroups of algebraic groups over finite fields; 8 Exercises; References for Chapter II; III A newcomer's guideto zeta functions of groups and rings; 1 Introduction; 1.1 Zeta functions of groups; 1.2 Zeta functions of rings; 1.3 Linearisation; 1.4 Organisation of the chapter; 2 Local and global zeta functions; 2.1 Rationality and variation with the prime. | |
| 500 | |a 2.2 Flag varieties and Coxeter groups. | ||
| 520 | |a An introduction to three key aspects of current research in infinite group theory, suitable for graduate students. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Profinite groups. | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Groupes profinis. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a MATHEMATICS |x Group Theory. |2 bisacsh | |
| 650 | 7 | |a Teoría de grupos |2 embne | |
| 650 | 0 | 7 | |a Grupos profinitos |2 embucm |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 7 | |a Profinite groups |2 fast | |
| 650 | 7 | |a Gruppentheorie |2 gnd | |
| 650 | 7 | |a Proendliche Gruppe |2 gnd | |
| 700 | 1 | |a Nikolov, Nikolay. | |
| 700 | 1 | |a Voll, Christopher. | |
| 700 | 1 | |a Segal, Dan. | |
| 776 | 0 | 8 | |i Print version: |a Klopsch, Benjamin. |t Lectures on Profinite Topics in Group Theory. |d Cambridge : Cambridge University Press, ©2011 |z 9781107005297 |
| 830 | 0 | |a London Mathematical Society Student Texts, 77. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=399371 |z Texto completo |
| 936 | |a BATCHLOAD | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24076318 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37562418 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH33230415 | ||
| 938 | |a Coutts Information Services |b COUT |n 19726611 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL774944 | ||
| 938 | |a ebrary |b EBRY |n ebr10502696 | ||
| 938 | |a EBSCOhost |b EBSC |n 399371 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n 329857 | ||
| 938 | |a YBP Library Services |b YANK |n 9619676 | ||
| 938 | |a YBP Library Services |b YANK |n 7205484 | ||
| 938 | |a YBP Library Services |b YANK |n 7302927 | ||
| 938 | |a YBP Library Services |b YANK |n 7319600 | ||
| 994 | |a 92 |b IZTAP | ||