For one-vertex tubular groups that are both CAT(0) and free-by-cyclic, virtual specialness always holds, yet cocompact cubulation often fails; three related open questions are answered negatively.
Embedding Partial HNN Extensions In Ascending HNN Extensions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We show that any partial ascending HNN extension of a free group embeds in an actual ascending HNN extension of a free group. Moreover, we can ensure that it embeds as the parabolic subgroup of a relatively hyperbolic group.
fields
math.GR 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Some questions related to free-by-cyclic groups and tubular groups
For one-vertex tubular groups that are both CAT(0) and free-by-cyclic, virtual specialness always holds, yet cocompact cubulation often fails; three related open questions are answered negatively.