OpenAI reports Gersten’s one-relator hyperbolicity conjecture
- Mathematics
Every finitely generated one-relator group containing no subgroup isomorphic to a Baumslag–Solitar group BS(m,n), with m and n nonzero, is word-hyperbolic.
OpenAI reports Gersten’s one-relator hyperbolicity conjecture
- Mathematics
Every finitely generated one-relator group containing no subgroup isomorphic to a Baumslag–Solitar group BS(m,n), with m and n nonzero, is word-hyperbolic.
Curated contributions 1
Understand the problem ↓Understanding the problem
Read the background
Every finitely generated one-relator group containing no subgroup isomorphic to a Baumslag–Solitar group BS(m,n), with m and n nonzero, is word-hyperbolic.
Why it matters
If correct, characterizes hyperbolicity of these one-relator groups through the absence of Baumslag–Solitar subgroups.
What counts as progress
Are one-relator groups without Baumslag–Solitar subgroups hyperbolic?
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OpenAI reports Gersten’s one-relator hyperbolicity conjecture