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• W2032249600 abstract "We investigate the commutators of elements of the group of infinite unitriangular matrices over an associative ring with and a commutative group of invertible elements. We prove that every unitriangular matrix of a specified form is a commutator of two other unitriangular matrices. As a direct consequence, we give a complete characterization of the lower central series of the group including the width of its terms with respect to basic commutators and Engel words. With an additional restriction on the ring , we show that the derived subgroup of coincides with the group . These results generalize the results obtained for triangular groups over a field." @default.
• W2032249600 created "2016-06-24" @default.
• W2032249600 creator A5008472960 @default.
• W2032249600 creator A5050953821 @default.
• W2032249600 date "2015-01-19" @default.
• W2032249600 modified "2023-10-16" @default.
• W2032249600 title "A note on commutators in the group of infinite triangular matrices over a ring" @default.
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• W2032249600 doi "https://doi.org/10.1080/03081087.2014.1003529" @default.
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