Abstract
A criterion for the representability of the direct interlacing of an arbitrary group and a solvable group by matrices over a field is established.
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Translated from Matematicheskie Zametki, Vol. 7, No. 2, pp. 181–189, February, 1970.
The author is deeply grateful to Yu. I. Merzlyakov for formulating the problem and valuable remarks.
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Vapné, Y.E. On the representability of a direct interlacing of groups by matrices. Mathematical Notes of the Academy of Sciences of the USSR 7, 110–114 (1970). https://doi.org/10.1007/BF01093492
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DOI: https://doi.org/10.1007/BF01093492