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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