Abstract
Necessary and sufficient conditions are determined for the matrix representability over a field of zero characteristic of the second nilpotent product of arbitrary matrix groups and of an arbitrary nilpotent product of Abelian matrix groups.
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Translated from Matematicheskie Zametki, Vol. 14, No. 3, pp. 383–394, September, 1973.
The author is indebted to Yu. I. Merziyakov for interest in the study and for valuable comments.
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Vapné, Y.E. Matrix representability of nilpotent products of groups. Mathematical Notes of the Academy of Sciences of the USSR 14, 780–786 (1973). https://doi.org/10.1007/BF01147455
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DOI: https://doi.org/10.1007/BF01147455