A single family of finite extensions of lamplighter groups separates uniform from non-uniform subgroup membership, pairs rational growth with an undecidable word problem, and pairs a context-free conjugacy geodesic language with an undecidable conjugacy problem.
Turbo” Ho, and Mark Pengitore. “Rational growth in torus bundle groups of odd trace
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
On finite extensions of lamplighter groups
A single family of finite extensions of lamplighter groups separates uniform from non-uniform subgroup membership, pairs rational growth with an undecidable word problem, and pairs a context-free conjugacy geodesic language with an undecidable conjugacy problem.