Baumslag's conjectures for one-relator groups with torsion
Baumslag's conjectures for one-relator groups with torsion
Let be a finitely generated one-relator group with torsion.
Baumslag's conjectures.
- is residually finite.
- is virtually free-by-cyclic.
- 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.
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
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