Shellable Complexes from Multicomplexes
| dc.creator | Browder, Jonathan | |
| dc.date | 2008-12-24 | |
| dc.date.accessioned | 2026-07-07T12:21:57Z | |
| dc.date.available | 2026-07-07T12:21:57Z | |
| dc.description | Suppose a group $G$ acts properly on a simplicial complex $Γ$. Let $l$ be the number of $G$-invariant vertices and $p_1, p_2, ... p_m$ be the sizes of the $G$-orbits having size greater than 1. Then $Γ$ must be a subcomplex of $Λ= Δ^{l-1}* \partial Δ^{p_1-1}*... * \partial Δ^{p_m-1}$. A result of Novik gives necessary conditions on the face numbers of Cohen-Macaulay subcomplexes of $Λ$. We show that these conditions are also sufficient, and thus provide a complete characterization of the face numbers of these complexes. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/0812.4562 | |
| dc.identifier | http://arxiv.org/abs/0812.4562 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213497 | |
| dc.subject | Combinatorics | |
| dc.subject | 05E99 | |
| dc.title | Shellable Complexes from Multicomplexes | |
| dc.type | text |