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6.47 (1978)

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(C. D. H. Cooper). Let $G$ be a group, $v$ a group word in two variables such that the operation $x \odot y = v(x, y)$ defines the structure of a new group $G_v = \langle G, \odot \rangle$ on the set $G$. Does $G_v$ always lie in the variety generated by $G$?

Contributor: E. I. Khukhro

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