Abstract
A detailed exposition of results announced in RZhMat 1981, 4A186, concerning the nonexistence of generalized group identities in classical groups over a division ring with infinite center is shown.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 114, pp. 96–119, 1982.
The authors would like to express their gratitude to A. I. Kostrikin for posing this problem and to V. N. Latyshev for his interest and useful comments.
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Golubchik, I.Z., Mikhalev, A.V. Generalized group identities in classical groups. J Math Sci 27, 2902–2918 (1984). https://doi.org/10.1007/BF01410743
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DOI: https://doi.org/10.1007/BF01410743