Pod Maturity in the Shelling Process

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Shelling the coset poset

It is shown that the coset lattice of a finite group has shellable order complex if and only if the group is complemented. Furthermore, the coset lattice is shown to have a Cohen–Macaulay order complex in exactly the same conditions. The group theoretical tools used are relatively elementary, and avoid the classification of finite simple groups and of minimal finite simple groups. © 2006 Elsevi...

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ژورنال

عنوان ژورنال: Peanut Science

سال: 2017

ISSN: 0095-3679

DOI: 10.3146/ps16-17.1