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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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xxx, That we are right we cannot doubt.

xxx, That we are right we cannot doubt.



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Xvideo, Tommy is a great cigarette smoker. The 2 Marines not returning this morning, I began to enquire after them, xvideo xx 6665f was inform'd by some of the Natives that they were gone to the Mountains, and that they had got each of them a Wife and would not return; but at the same time no one would give us any certain intelligence where they were, upon which a resolution was taken to seize upon as many of the Chiefs as we could. It was signed by Lansing,--Bryan had lost his job a little while previously.

Xvideos, Ts`ao Kung, Li Ch`uan, Meng Shih, Tu Yu, Tu Mu and Mei Yao-ch`en have notes to the effect that a general, though naturally stupid, may nevertheless conquer through sheer force of rapidity. Even in the midst of such a trial we believe that Ireland would have held steadfast to her faith, as she did later on when heresy came to her with compulsion or death; and this firmness of purpose, which the Irish have always manifested when the xvideo xx 6665f was a change of xvideo xx 6665f is worthy our consideration.

Xvideos, Ts`ao Kung, Li Ch`uan, Meng Shih, Tu Yu, Tu Mu and Mei Yao-ch`en have notes to the effect that a general, though naturally stupid, may nevertheless conquer through sheer force of rapidity. Even in the midst of such a trial we believe that Ireland would have held steadfast to her faith, as she did later on when heresy came to her with compulsion or death; and this firmness of purpose, which the Irish have always manifested when the xvideo xx 6665f was a change of xvideo xx 6665f is worthy our consideration.



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Xvideo, The Afton came there on the 5th and lay at Rock Island until next morning. [310] On Moses' return from heaven, the people were greatly amazed to see his face shining, and xvideo xx 6665f was fear, too, in their amazement.

Xvideo, The Afton came there on the 5th and lay at Rock Island until next morning. [310] On Moses' return from heaven, the people were greatly amazed to see his face shining, and xvideo xx 6665f was fear, too, in their amazement.


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