Título: | Shelling The Coset Poset |
Autores: | Woodroofe, Russell S |
Fecha: |
2005-07-26 2005-07-26 2003-06-24 |
Publicador: | arXiv.org |
Fuente: |
Ver documento |
Tipo: | Thesis |
Tema: |
group theory combinatorics poset complemented group coset |
Descripción: | It is shown that the coset lattice of a finite group has shellable order complex if and only if the group is complemented. It is also shown that the order complex is Cohen-Macaulay under the same circumstances. The group theoretical tools used are relatively elementary, and avoid the classification of finite simple groups and of minimal finite simple groups. |
Idioma: | Inglés |
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