12.32 (1992)
SolvedProve an analogue of Higman’s theorem for the Burnside variety $\mathfrak{B}_n$ of groups of odd exponent $n \gg 1$, that is, prove that every recursively presented group of exponent $n$ can be embedded in a finitely presented (in $\mathfrak{B}_n$) group of exponent $n$.
Progress
It is proved (A. Yu. Olshanskii, J. Algebra, 560 (2020), 960–1052).
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