On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic $p$-adic closures

Nguyêñ Quoc Th\v{a}ńg

doi:10.3792/pjaa.78.60

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May 2002 On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic $p$-adic closures

Nguyêñ Quoc Th\v{a}ńg

Proc. Japan Acad. Ser. A Math. Sci. 78(5): 60-62 (May 2002). DOI: 10.3792/pjaa.78.60

Abstract

We prove under certain natural conditions the finiteness of the number of isomorphism classes of Zariski dense subgroups in semisimple groups with isomorphic $p$-adic closures.

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Nguyêñ Quoc Th\v{a}ńg. "On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic $p$-adic closures." Proc. Japan Acad. Ser. A Math. Sci. 78 (5) 60 - 62, May 2002. https://doi.org/10.3792/pjaa.78.60