Finite Stature in Graphs of Cube Complexes with Cyclonormal Edges
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866911352397758464 |
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| author | Li, Changqian |
| author_facet | Li, Changqian |
| contents | Given a compact cube complex $X$ that splits as a graph of virtually special cube complexes. Suppose that the fundamental groups of edge spaces are cyclonormal in the fundamental groups of adjacent vertex spaces. We show that $π_1X$ has finite stature with respect to vertex groups in the sense of Huang-Wise. In particular, when vertex groups are hyperbolic, this allows us to deduce virtual specialness of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_01057 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Finite Stature in Graphs of Cube Complexes with Cyclonormal Edges Li, Changqian Group Theory Geometric Topology Given a compact cube complex $X$ that splits as a graph of virtually special cube complexes. Suppose that the fundamental groups of edge spaces are cyclonormal in the fundamental groups of adjacent vertex spaces. We show that $π_1X$ has finite stature with respect to vertex groups in the sense of Huang-Wise. In particular, when vertex groups are hyperbolic, this allows us to deduce virtual specialness of $X$. |
| title | Finite Stature in Graphs of Cube Complexes with Cyclonormal Edges |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2601.01057 |