A note on the subnormal structure of general linear groups
1990 ◽
Vol 107
(2)
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pp. 193-196
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The purpose of this note is to improve results of J. S. Wilson[12] and L. N. Vaserstein [10] concerning the subnormal structure of the general linear group G = GL (n, R) of degree n ≽ 3 over a commutative ring R. To do this we sharpen results of J. S. Wilson[12], A. Bak[1] and L. N. Vaserstein[10] on subgroups normalized by a relative elementary subgroup. It should be said also that (especially for the case n = 3) our proof is very much simpler than that of[12, 10]. To formulate our results let us recall some notation.
2005 ◽
Vol 92
(1)
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pp. 62-98
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1994 ◽
Vol 116
(1)
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pp. 7-25
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2009 ◽
Vol 80
(1)
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pp. 91-104
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2018 ◽
Vol 85
(3-4)
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pp. 422
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1969 ◽
Vol 21
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pp. 106-135
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1986 ◽
Vol 99
(3)
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pp. 425-431
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1985 ◽
Vol 37
(2)
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pp. 238-259
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