SOLUBLE MAXIMAL SUBGROUPS IN GLn(D)
2011 ◽
Vol 10
(06)
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pp. 1371-1382
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Let D be an F-central non-commutative division ring. Here, it is proved that if GL n(D) contains a non-abelian soluble maximal subgroup, then n = 1, [D : F] < ∞, and D is cyclic of degree p, a prime. Furthermore, a classification of soluble maximal subgroups of GL n(F) for an algebraically closed or real closed field F is also presented. We then determine all soluble maximal subgroups of GL 2(F) for fields F with Char F ≠ 2.
2011 ◽
Vol 10
(04)
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pp. 615-622
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2014 ◽
Vol 35
(7)
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pp. 2242-2268
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1990 ◽
Vol 13
(2)
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pp. 311-314
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1985 ◽
Vol 38
(3)
◽
pp. 330-350
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Keyword(s):
2015 ◽
Vol 166
(3)
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pp. 261-273
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