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A note on the subnormal structure of general linear groups

Published online by Cambridge University Press:  24 October 2008

N. A. Vavilov
N. A. Vavilov
Affiliation:
Department of Mathematics and Mechanics, Leningrad State University, Leningrad, U.S.S.R.
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 107 , Issue 2 , March 1990 , pp. 193 - 196
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

REFERENCES

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