Baumslag's conjectures for one-relator groups with torsion

Let G=Awn=1G=\langle A\mid w^n=1\rangle be a finitely generated one-relator group with torsion.

Baumslag's conjectures.

  1. GG is residually finite.
  2. GG is virtually free-by-cyclic.
  3. GG is coherent.

These conjectures concern the expected good structural and finiteness properties of one-relator groups with torsion. They were posed by Gilbert Baumslag in connection with the study of the torsion case of one-relator groups; the supplied source does not establish whether they are resolved.

Sources & referencesView supporting material

Primary source

Carl-Fredrik Nyberg-Brodda, “The B. B. Newman Spelling Theorem”, arXiv:2004.01484 (2021).

Additional references

2 papers in this index state this conjecture (2016–2020). The statement above is taken from the most recent of them; the others are arXiv:1609.00325.

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