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| Russ Woodroofe |
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| Ph.D. (2005) Cornell University |
First Position
Teaching Assistant, Weill Cornell Medical College at QatarDissertation
Shelling the Coset PosetAdvisor:
Kenneth Brown
Research Area:Group
Theory and Combinatorics
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.
Last modified: November 29, 2005