Abstract
In response to A. I. Mal'tsev's problem (1948), associative operations are constructed on the class of all groups; these operations are distinct from the direct and free products and are hereditary for subgroups of the factors.
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Additional information
Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 14, pp. 225–249, 1989.
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Ol'shanskii, A.Y. A. I. Mal'tsev's problem on operations on groups. J Math Sci 51, 2468–2486 (1990). https://doi.org/10.1007/BF01097163
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DOI: https://doi.org/10.1007/BF01097163