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The subnormal structure of general linear groups over rings

Published online by Cambridge University Press:  24 October 2008

L. N. Vaserstein
L. N. Vaserstein
Affiliation:
Department of Mathematics, The Pennsylvania State University, U.S.A.
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Extract

For any associative ring A with 1 and any integer n ≥ 1, let GLn A be the group of all invertible n × n matrices over A and EnA the subgroup generated by all elementary matrices aij, where a ∈ A and 1 ≤ i ≠ j ≤ n. When n = 1, the group GL1A is the multiplicative group of A and the group E1A is trivial.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 2 , September 1990 , pp. 219 - 229
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

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