论文信息 - Modular elements of higher-weight dowling lattices

Modular elements of higher-weight dowling lattices

Abstract The higher-weight Dowling lattice Lk is the geometric lattice consisting of those subspaces of the vector space Vn(q) which have bases of weight k or less, with these subspaces ordered by inclusion. These lattices arise when Crapo and Rota's results on the critical problem are applied to the Fundamental problem of linear coding theory. This paper identifies the modular elements of higher-weight Dowling lattices and applies that analysis to modular complements in Lk and to the characteristic polynomial of Lk.

Joseph E. Bonin

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