Soluble-by-periodic skew linear groups
1984 ◽
Vol 96
(3)
◽
pp. 379-389
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Keyword(s):
Let D be a division ring with central subfield F, n a positive integer and G a subgroup of GL(n, D) such that the F-subalgebra F[G] generated by G is the full matrix algebra Dn×n. If G is soluble then Snider [9] proves that G is abelian by locally finite. He also shows that this locally finite image of G can be any locally finite group. Of course not every abelian by locally finite group is soluble. This suggests that Snider's conclusion should apply to some wider class of groups.
Keyword(s):
1986 ◽
Vol 29
(1)
◽
pp. 101-113
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Keyword(s):
Keyword(s):
2019 ◽
Vol 29
(03)
◽
pp. 603-614
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Keyword(s):
2011 ◽
Vol 10
(04)
◽
pp. 615-622
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2005 ◽
Vol 04
(02)
◽
pp. 165-171
Keyword(s):
2005 ◽
Vol 54
(4)
◽
pp. 511-523
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1974 ◽
Vol 75
(1)
◽
pp. 1-22
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Keyword(s):