Title:	Shelling The Coset Poset
Authors:	Woodroofe, Russell S
Keywords:	group theory combinatorics poset complemented group coset
Issue Date:	24-Jun-2003
Publisher:	arXiv.org
Citation:	Russ Woodroofe, Shelling the coset poset, 2003, arXiv:math.NT/9810036
Abstract:	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.
URI:	http://hdl.handle.net/1813/2105
Appears in Collections:	Theses and Dissertations (OPEN)

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