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4.4 (1973)

Solved

Construct a finitely presented group with undecidable word problem all of whose non-trivial defining relations have the form $A^2 = 1$. This problem is interesting for topologists.

Contributor: S. I. Adian

Progress

It is constructed (O. A. Sarkisyan, The word problem for some classes of groups and semigroups, Candidate disser., Moscow Univ., 1983 (Russian)).

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