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

Th\v{a}ńg, Nguyêñ Quoc

Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 60-62 / Harvested from Project Euclid

Résumé

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.

Publié le : 2002-05-14
Classification: Arithmetic subgroups, $p$-adic groups, 22E40, 22E45

@article{1148392713,
     author = {Th\v{a}\'ng, Nguy\^e\~n Quoc},
     title = {On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic $p$-adic closures},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 60-62},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392713}
}

Th\v{a}ńg, Nguyêñ Quoc. On isomorphism classes of Zariski dense subgroups of semisimple algebraic groups with isomorphic $p$-adic closures. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  60-62. http://gdmltest.u-ga.fr/item/1148392713/