A finitely generated residually finite group with an unsolvable word problem
Author:
Stephen Meskin
Journal:
Proc. Amer. Math. Soc. 43 (1974), 8-10
MSC:
Primary 20F10
DOI:
https://doi.org/10.1090/S0002-9939-1974-0335645-5
MathSciNet review:
0335645
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Abstract | References | Similar Articles | Additional Information
Abstract: The group described in the title is obtained as a quotient of a center-by-metabelian group constructed by P. Hall.
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- [3] P. Hall, On the finiteness of certain soluble groups, Proc. London Math. Soc. (3) 9 (1959), 595–622. MR 0110750, https://doi.org/10.1112/plms/s3-9.4.595
- [4] G. Higman, Subgroups of finitely presented groups, Proc. Roy. Soc. London Ser. A 262 (1961), 455–475. MR 130286, https://doi.org/10.1098/rspa.1961.0132
- [5] W. Magnus, Residually finite groups, Bull. Amer. Math. Soc. 75 (1969), 305–316. MR 241525, https://doi.org/10.1090/S0002-9904-1969-12149-X
- [6] A. Włodzimierz Mostowski, On the decidability of some problems in special classes of groups, Fund. Math. 59 (1966), 123–135. MR 224693, https://doi.org/10.4064/fm-59-2-123-135
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0335645-5
Keywords:
Finitely generated,
residually finite,
unsolvable word problem,
center-by-metabelian
Article copyright:
© Copyright 1974
American Mathematical Society
