Commutator width of Chevalley groups over rings of stable rank 1
Andrei Smolensky
TL;DR
This paper provides an estimate for the commutator width of Chevalley groups over rings of stable rank 1, introducing a general method applicable to other rings with small dimension.
Contribution
It introduces a new estimate for the commutator width of Chevalley groups over specific rings and a general method for rings of small dimension.
Findings
Estimate on the commutator width for Chevalley groups over rings of stable rank 1
A general method applicable to other rings of small dimension
Potential for extending results to broader classes of rings
Abstract
An estimate on the commutator width is given for Chevalley groups over rings of stable rank 1, and the general method suitable for other rings of small dimension.
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