Group-theoretic compactification of Bruhat–Tits buildings
Yves Guivarc'h, Bertrand Rémy (2006)
Annales scientifiques de l'École Normale Supérieure
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Yves Guivarc'h, Bertrand Rémy (2006)
Annales scientifiques de l'École Normale Supérieure
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Gregory Margulis (1997)
Bulletin de la Société Mathématique de France
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Detlev Poguntke (1983)
Annales scientifiques de l'École Normale Supérieure
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Yehuda Shalom (2000)
Annales de l'institut Fourier
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Consider a simple non-compact algebraic group, over any locally compact non-discrete field, which has Kazhdan’s property . For any such group, , we present a Kazhdan set of two elements, and compute its best Kazhdan constant. Then, settling a question raised by Serre and by de la Harpe and Valette, explicit Kazhdan constants for every lattice in are obtained, for a “geometric” generating set of the form , where is a ball of radius , and the dependence of on is described...
V. V. Belyaev, M. Kuzucuoğlu, E. Seçkin (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Eric M. Friedlander, Guido Mislin (1988)
Annales scientifiques de l'École Normale Supérieure
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