A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices
In 1973 T.A. Dowling constructed a class of geometric lattices with fixed underlying finite groups. Dowling and M. Benoumhani deduced a number of identities satisfied by the Whitney numbers of these lattices. In addition, Remmel and Wachs gave a partition-theoretical interpretation for these numbers...
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| Veröffentlicht in: | Discrete mathematics 2014-08, Vol.328, p.88-95 |
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| container_title | Discrete mathematics |
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| creator | Mezo, Istvan |
| description | In 1973 T.A. Dowling constructed a class of geometric lattices with fixed underlying finite groups. Dowling and M. Benoumhani deduced a number of identities satisfied by the Whitney numbers of these lattices. In addition, Remmel and Wachs gave a partition-theoretical interpretation for these numbers. We continue the study of this interpretation introducing an analogue of Eulerian numbers connected to Whitney numbers of the second kind. Moreover, bijective proofs are given for a number of formulas deduced analytically by Benoumhani. |
| doi_str_mv | 10.1016/j.disc.2014.03.021 |
| format | Article |
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Dowling constructed a class of geometric lattices with fixed underlying finite groups. Dowling and M. Benoumhani deduced a number of identities satisfied by the Whitney numbers of these lattices. In addition, Remmel and Wachs gave a partition-theoretical interpretation for these numbers. We continue the study of this interpretation introducing an analogue of Eulerian numbers connected to Whitney numbers of the second kind. Moreover, bijective proofs are given for a number of formulas deduced analytically by Benoumhani.</abstract><pub>Elsevier B.V</pub><doi>10.1016/j.disc.2014.03.021</doi><tpages>8</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Discrete mathematics, 2014-08, Vol.328, p.88-95 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; EZB-FREE-00999 freely available EZB journals |
| subjects | Analogue Construction Dowling lattices Dowling numbers Eulerian numbers Lattices Mathematical analysis Proving Whitney numbers |
| title | A kind of Eulerian numbers connected to Whitney numbers of Dowling lattices |
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