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On Discrete Zariski‐Dense Subgroups of Algebraic Groups
Author(s) -
Winkelmann Jörg
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.3211860117
Subject(s) - mathematics , topology (electrical circuits) , discrete group , algebraic topology , algebraic number , topological group , locally compact space , field (mathematics) , group (periodic table) , pure mathematics , algebraic group , combinatorics , mathematical analysis , chemistry , organic chemistry , homotopy
We investigate under which conditions an algebraic group G defined over a locally compact field k admitr a subgroup Γ⊂ G(k) which is dense in the Zariski topology, but discerte in the topology induced by the locally compact topology on k . For non—solvable groups we provide a complete answer.
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