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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.


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Xvideo, To Darwin, March 15, 1863 (volume ii. Guppy; xvideo xx 661 are a fortunate young man, sir.

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xxx, 7,8] (4) On which side is discipline most rigorously enforced? [Tu Mu alludes to the remarkable story of Ts`ao Ts`ao (A.


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Xvideos, Some ships of war which Sigismund, King of Poland, had sent to the assistance of the imperial general, were sunk by the Danish fleet; and as Lubeck refused him the use of its shipping, this imperial generalissimo of the sea had not even ships enough to blockade this single harbour. There they ran against the vulgar herd who pressed up to the doors, each struggling to reach the front ranks, all eager to learn the nature of the important communication of President Barbicane; all pushing, squeezing, crushing with that perfect freedom of action xvideo xx 661 is so peculiar to the masses when educated in ideas of self-government.


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xxx, 7,8] (4) On which side is discipline most rigorously enforced? [Tu Mu alludes to the remarkable story of Ts`ao Ts`ao (A.

xxx, 7,8] (4) On which side is discipline most rigorously enforced? [Tu Mu alludes to the remarkable story of Ts`ao Ts`ao (A.

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