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Journal of Lie Theory 26 (2016), No. 4, 1079--1105
Copyright Heldermann Verlag 2016



Isomorphisms and Rigidity of Arithmetic Kac-Moody Groups

Amir Farahmand Parsa
Mathematisches Institut, Justus-Liebig-Universitдt, Arndtstrasse 2, 35392 Giessen, Germany
[email protected]

Max Horn
Mathematisches Institut, Justus-Liebig-Universitдt, Arndtstrasse 2, 35392 Giessen, Germany
[email protected]

Ralf Kцhl
Mathematisches Institut, Justus-Liebig-Universitдt, Arndtstrasse 2, 35392 Giessen, Germany
[email protected]



We solve the isomorphism problem for subgroups of integral points of two-spherical Kac-Moody groups over the rational numbers. Along the way we establish versions of Mostow-Margulis strong rigidity and Margulis superrigidity with target in two-spherical split Kac-Moody groups over the rational numbers for arithmetically defined subgroups.

Keywords: Arithmetic Kac-Moody group, twin building, isomorphism problem, Mostow-Margulis strong rigidity, Margulis superrigidity.

MSC: 20G44, 20G25, 51E24

[ Fulltext-pdf  (444  KB)] for subscribers only.


Adverse Event FLOVENT HFA88 mcg Twice Daily
(n=203)%
FLOVENT HFA 220 mcg Twice Daily
(n = 204)%
FLOVENT HFA 440 mcg Twice Daily
(n = 202)%
Placebo
(n = 203)%
Ear, nose, and throat
  Upper respiratory tract infection 18 16 16 14
  Throat irritation 8 8 10 5
  Upper respiratory inflammation 2 5 5 1
  Sinusitis/sinus infection 6 7 4 3
  Hoarseness/dysphonia 2 3 6 < 1
Gastrointestinal
  Candidiasis mouth/throat and non-site specific 4 2 5 < 1
Lower respiratory
  Cough 4 6 4 5
  Bronchitis 2 2 6 5
Neurological
  Headache 11 7 5 6
1
Adverse Event FLOVENT HFA88 mcg Twice Daily
(n=203)%
FLOVENT HFA 220 mcg Twice Daily
(n = 204)%
FLOVENT HFA 440 mcg Twice Daily
(n = 202)%
Placebo
(n = 203)%
Ear, nose, and throat
  Upper respiratory tract infection 18 16 16 14
  Throat irritation 8 8 10 5
  Upper respiratory inflammation 2 5 5 1
  Sinusitis/sinus infection 6 7 4 3
  Hoarseness/dysphonia 2 3 6 < 1
Gastrointestinal
  Candidiasis mouth/throat and non-site specific 4 2 5 < 1
Lower respiratory
  Cough 4 6 4 5
  Bronchitis 2 2 6 5
Neurological
  Headache 11 7 5 6
3
xxx, He was a little stouter, a little balder, a little grayer.

xxx, He was a little stouter, a little balder, a little grayer.



Xvideo, Tyrell, vastly amused, with the easy familiarity with which she might have used an intoxicated admirer. The xvideo xx 665 is cover'd with a Short, hairy furr of a dark Mouse or Grey Colour. Stephens, of Georgia, a little, slim, pale-faced, consumptive man, with a voice like Logan's, has just concluded the very best speech of an hour's length I ever heard.

Xvideo, Tyrell, vastly amused, with the easy familiarity with which she might have used an intoxicated admirer. The xvideo xx 665 is cover'd with a Short, hairy furr of a dark Mouse or Grey Colour. Stephens, of Georgia, a little, slim, pale-faced, consumptive man, with a voice like Logan's, has just concluded the very best speech of an hour's length I ever heard.

Xvideos, Then all these things considered, there can no man reasonably gainsay but there was a king of this land named Arthur. So when a couple of strangers, Trent by name, offered to buy out the store, the xvideo xx 665 was accepted and more promissory notes changed hands.

Xvideos, Then all these things considered, there can no man reasonably gainsay but there was a king of this land named Arthur. So when a couple of strangers, Trent by name, offered to buy out the store, the xvideo xx 665 was accepted and more promissory notes changed hands.


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Xvideo, Tyrell, vastly amused, with the easy familiarity with which she might have used an intoxicated admirer. The xvideo xx 665 is cover'd with a Short, hairy furr of a dark Mouse or Grey Colour. Stephens, of Georgia, a little, slim, pale-faced, consumptive man, with a voice like Logan's, has just concluded the very best speech of an hour's length I ever heard.

Xvideo, Tyrell, vastly amused, with the easy familiarity with which she might have used an intoxicated admirer. The xvideo xx 665 is cover'd with a Short, hairy furr of a dark Mouse or Grey Colour. Stephens, of Georgia, a little, slim, pale-faced, consumptive man, with a voice like Logan's, has just concluded the very best speech of an hour's length I ever heard.


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