Solvable-by-finite subgroups of GL(2, F)
1978 ◽
Vol 19
(1)
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pp. 45-48
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Keyword(s):
In a recent paper [5] Tits proves that a linear group over a field of characteristic zero is either solvable-by-finite or else contains a non-cyclic free subgroup. In this note we determine all the infinite irreducible solvable-by-finite subgroups of GL(2, F), where F is an algebraically closed field of characteristic zero. (Every reducible subgroup of GL(2, F) is metabelian.) In addition, we prove that an irreducible subgroup of GL(2, F) has an irreducible solvable-by-finite subgroup if and only if it contains an element of zero trace.
1968 ◽
Vol 9
(2)
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pp. 146-151
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1991 ◽
Vol 122
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pp. 161-179
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2012 ◽
Vol 55
(1)
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pp. 208-213
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2004 ◽
Vol 77
(1)
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pp. 123-128
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1987 ◽
Vol 107
◽
pp. 147-157
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2006 ◽
Vol 74
(01)
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pp. 41-58
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2010 ◽
Vol 09
(01)
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pp. 11-15
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Keyword(s):
1994 ◽
Vol 37
(3)
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pp. 374-383
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Keyword(s):
2012 ◽
Vol 55
(2)
◽
pp. 271-284
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Keyword(s):
2014 ◽
Vol 14
(02)
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pp. 1550011
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Keyword(s):