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1

Trees, contraction groups, and Moufang sets

Caprace, Pierre-Emmanuel, De Medts, Tom

Journal:

Duke Mathematical Journal

Year:

2013

Language:

english

File:

PDF, 348 KB

english, 2013

2

Isomorphisms of Kac–Moody groups which preserve bounded subgroups

Pierre-Emmanuel Caprace, Bernhard Mühlherr

Journal:

Advances in Mathematics

Year:

2006

Language:

english

File:

PDF, 319 KB

english, 2006

3

A uniform bound on the nilpotency degree of certain subalgebras of Kac–Moody algebras

Pierre-Emmanuel Caprace

Journal:

Journal of Algebra

Year:

2007

Language:

english

File:

PDF, 155 KB

english, 2007

4

Bipolar Coxeter groups

Pierre-Emmanuel Caprace, Piotr Przytycki

Journal:

Journal of Algebra

Year:

2011

Language:

english

File:

PDF, 300 KB

english, 2011

5

Simple locally compact groups acting on trees and their germs of automorphisms

Pierre-Emmanuel Caprace*, Tom De Medts

Journal:

Transformation Groups

Year:

2011

Language:

english

File:

PDF, 623 KB

english, 2011

6

Rank-One Isometries of Buildings and Quasi-Morphisms of Kac–Moody Groups

Pierre-Emmanuel Caprace, Koji Fujiwara

Journal:

Geometric And Functional Analysis

Year:

2010

Language:

english

File:

PDF, 348 KB

english, 2010

7

Rank Rigidity for Cat(0) Cube Complexes

Pierre-Emmanuel Caprace, Michah Sageev

Journal:

Geometric And Functional Analysis

Year:

2011

Language:

english

File:

PDF, 514 KB

english, 2011

8

At infinity of finite-dimensional CAT(0) spaces

Pierre-Emmanuel Caprace, Alexander Lytchak

Journal:

Mathematische Annalen

Year:

2010

Language:

english

File:

PDF, 282 KB

english, 2010

9

Isomorphisms of Kac-Moody groups

Pierre-Emmanuel Caprace, Bernhard Mühlherr

Journal:

Inventiones mathematicae

Year:

2005

Language:

english

File:

PDF, 762 KB

english, 2005

10

Simplicity and superrigidity of twin building lattices

Pierre-Emmanuel Caprace, Bertrand Rémy

Journal:

Inventiones mathematicae

Year:

2009

Language:

english

File:

PDF, 691 KB

english, 2009

11

Fixed points and amenability in non-positive curvature

Pierre-Emmanuel Caprace, Nicolas Monod

Journal:

Mathematische Annalen

Year:

2013

Language:

english

File:

PDF, 410 KB

english, 2013

12

Reflection triangles in Coxeter groups and biautomaticity

Caprace, Pierre-Emmanuel, Mühlherr, Bernhard

Journal:

Journal of Group Theory

Year:

2005

Language:

english

File:

PDF, 263 KB

english, 2005

13

New Directions in Locally Compact Groups || Future directions in locally compact groups: a tentative problem list

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 128 KB

english, 2018

14

Buildings with isolated subspaces and relatively hyperbolic Coxeter groups

Caprace, Pierre-Emmanuel

Journal:

Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial

Year:

2009

Language:

english

File:

PDF, 987 KB

english, 2009

15

Simplicité abstraite des groupes de Kac–Moody non affines

Pierre-Emmanuel Caprace, Bertrand Rémy

Journal:

Comptes Rendus Mathematique

Year:

2006

Language:

english

File:

PDF, 101 KB

english, 2006

16

Some properties of non-positively curved lattices

Pierre-Emmanuel Caprace, Nicolas Monod

Journal:

Comptes Rendus Mathematique

Year:

2008

Language:

french

File:

PDF, 117 KB

french, 2008

17

Twin building lattices do not have asymptotic cut-points

Pierre-Emmanuel Caprace, François Dahmani, Vincent Guirardel

Journal:

Geometriae Dedicata

Year:

2010

Language:

english

File:

PDF, 125 KB

english, 2010

18

Non-distortion of twin building lattices

Pierre-Emmanuel Caprace, Bertrand Rémy

Journal:

Geometriae Dedicata

Year:

2010

Language:

english

File:

PDF, 211 KB

english, 2010

19

A lattice in more than two Kac-Moody groups is arithmetic

Pierre-Emmanuel Caprace, Nicolas Monod

Journal:

Israel Journal of Mathematics

Year:

2012

Language:

english

File:

PDF, 377 KB

english, 2012

20

Open subgroups of locally compact Kac–Moody groups

Pierre-Emmanuel Caprace, Timothée Marquis

Journal:

Mathematische Zeitschrift

Year:

2013

Language:

english

File:

PDF, 353 KB

english, 2013

21

Locally normal subgroups of simple locally compact groups

Caprace, Pierre-Emmanuel, Reid, Colin D., Willis, George A.

Journal:

Comptes Rendus Mathematique

Year:

2013

Language:

french

File:

PDF, 208 KB

french, 2013

22

The Thick Frame of a Weak Twin Building

Caprace, Pierre-Emmanuel

Journal:

Advances in Geometry

Year:

2005

Language:

english

File:

PDF, 205 KB

english, 2005

23

On 2-spherical Kac-Moody groups and their central extensions

Caprace, Pierre-Emmanuel

Journal:

Forum Mathematicum

Year:

2007

Language:

english

File:

PDF, 197 KB

english, 2007

24

Decomposing locally compact groups into simple pieces

CAPRACE, PIERRE-EMMANUEL, MONOD, NICOLAS

Journal:

Mathematical Proceedings of the Cambridge Philosophical Society

Year:

2011

Language:

english

File:

PDF, 425 KB

english, 2011

25

Totally Disconnected Locally Compact Groups with a Linear Open Subgroup

Caprace, Pierre-Emmanuel, Stulemeijer, Thierry

Journal:

International Mathematics Research Notices

Year:

2015

Language:

english

File:

PDF, 267 KB

english, 2015

26

Gelfand pairs and strong transitivity for Euclidean buildings

CAPRACE, PIERRE-EMMANUEL, CIOBOTARU, CORINA

Journal:

Ergodic Theory and Dynamical Systems

Year:

2015

Language:

english

File:

PDF, 301 KB

english, 2015

27

On embeddings into compactly generated groups

Caprace, Pierre-Emmanuel, Cornulier, Yves

Journal:

Pacific Journal of Mathematics

Year:

2014

Language:

english

File:

PDF, 386 KB

english, 2014

28

New Directions in Locally Compact Groups || On the role of totally disconnected groups in the structure of locally compact groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 124 KB

english, 2018

29

New Directions in Locally Compact Groups || Locally compact groups as metric spaces

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 102 KB

english, 2018

30

New Directions in Locally Compact Groups || A short primer on profinite groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 182 KB

english, 2018

31

New Directions in Locally Compact Groups || Abstract quotients of profinite groups, after Nikolov and Segal

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 184 KB

english, 2018

32

New Directions in Locally Compact Groups || Automorphism groups of trees: generalities and prescribed local actions

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 233 KB

english, 2018

33

New Directions in Locally Compact Groups || Lectures on Lie groups over local fields

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 285 KB

english, 2018

34

New Directions in Locally Compact Groups || The scale function and tidy subgroups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 177 KB

english, 2018

35

New Directions in Locally Compact Groups || The Neretin groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 159 KB

english, 2018

36

New Directions in Locally Compact Groups || Simon Smith's construction of an uncountable family of simple, totally disconnected, locally compact groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 163 KB

english, 2018

37

New Directions in Locally Compact Groups || L2-Betti number of discrete and non-discrete groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 200 KB

english, 2018

38

New Directions in Locally Compact Groups || A lecture on invariant random subgroups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 196 KB

english, 2018

39

New Directions in Locally Compact Groups || Foreword

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 47 KB

english, 2018

40

New Directions in Locally Compact Groups || The structure lattice of a totally disconnected locally compact group

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 128 KB

english, 2018

41

New Directions in Locally Compact Groups || On the quasi-isometric classification of locally compact groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 521 KB

english, 2018

42

New Directions in Locally Compact Groups || Minimal normal closed subgroups in compactly generated tdlc groups

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 138 KB

english, 2018

43

New Directions in Locally Compact Groups || Elementary totally disconnected locally compact groups, after Wesolek

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 191 KB

english, 2018

44

New Directions in Locally Compact Groups || Burger–Mozes’ simple lattices

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 106 KB

english, 2018

45

New Directions in Locally Compact Groups || The Bader–Shalom normal subgroup theorem

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 122 KB

english, 2018

46

New Directions in Locally Compact Groups || Contraction groups and the scale

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 138 KB

english, 2018

47

New Directions in Locally Compact Groups || The centraliser lattice

Caprace, Pierre-Emmanuel, Monod, Nicolas

Year:

2018

Language:

english

File:

PDF, 121 KB

english, 2018

48

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART II: COMPACTLY GENERATED SIMPLE GROUPS

CAPRACE, PIERRE-EMMANUEL, REID, COLIN D., WILLIS, GEORGE A.

Journal:

Forum of Mathematics, Sigma

Year:

2017

Language:

english

File:

PDF, 871 KB

english, 2017

49

LOCALLY NORMAL SUBGROUPS OF TOTALLY DISCONNECTED GROUPS. PART I: GENERAL THEORY

CAPRACE, PIERRE-EMMANUEL, REID, COLIN D., WILLIS, GEORGE A.

Journal:

Forum of Mathematics, Sigma

Year:

2017

Language:

english

File:

PDF, 702 KB

english, 2017

50

Amenable hyperbolic groups

Caprace, Pierre-Emmanuel, de Cornulier, Yves, Monod, Nicolas, Tessera, Romain

Journal:

Journal of the European Mathematical Society

Year:

2015

Language:

english

File:

PDF, 299 KB

english, 2015

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