A finitely generated residually finite group with an unsolvable word problem

A finitely generated residually finite group with an unsolvable word problem
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by Stephen Meskin PDF

Proc. Amer. Math. Soc. 43 (1974), 8-10 Request permission

The group described in the title is obtained as a quotient of a center-by-metabelian group constructed by P. Hall.

References

The word problem and residually finite groups

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P. Hall, Finiteness conditions for soluble groups, Proc. London Math. Soc. (3) 4 (1954), 419–436. MR 72873, DOI 10.1112/plms/s3-4.1.419
P. Hall, On the finiteness of certain soluble groups, Proc. London Math. Soc. (3) 9 (1959), 595–622. MR 110750, DOI 10.1112/plms/s3-9.4.595
G. Higman, Subgroups of finitely presented groups, Proc. Roy. Soc. London Ser. A 262 (1961), 455–475. MR 130286, DOI 10.1098/rspa.1961.0132
W. Magnus, Residually finite groups, Bull. Amer. Math. Soc. 75 (1969), 305–316. MR 241525, DOI 10.1090/S0002-9904-1969-12149-X
A. Włodzimierz Mostowski, On the decidability of some problems in special classes of groups, Fund. Math. 59 (1966), 123–135. MR 224693, DOI 10.4064/fm-59-2-123-135