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

DOI: https://doi.org/10.1090/S0002-9939-1974-0335645-5

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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, 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
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