Geodesic
The isomorphism problem for residually torsion-free nilpotent groups
Gilbert Baumslag1 ; Charles F. Miller III2
1The City College of New York, United States
2University of Melbourne, Melbourne, Australia
Groups, geometry, and dynamics, Tome 1 (2007) no. 1, pp. 1-20

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DOI

Both the conjugacy and isomorphism problems for finitely generated nilpotent groups are recursively solvable. In some recent work, the first author, with a tiny modification of work in the second author's thesis, proved that the conjugacy problem for finitely presented, residually torsion-free nilpotent groups is recursively unsolvable. Here we complete the algorithmic picture by proving that the isomorphism problem for such groups is also recursively unsolvable.
DOI : 10.4171/ggd/1
Classification : 20-XX, 00-XX
Mots-clés : Finitely presented group, isomorphism problem, residually nilpotent

Gilbert Baumslag  1   ; Charles F. Miller III  2

1 The City College of New York, United States
2 University of Melbourne, Melbourne, Australia 
Gilbert Baumslag; Charles F. Miller III. The isomorphism problem for residually torsion-free nilpotent groups. Groups, geometry, and dynamics, Tome 1 (2007) no. 1, pp. 1-20. doi: 10.4171/ggd/1
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