Dowling group geometries and the critical problem

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Dowling group geometries and the critical problem

This paper relates the critical problem of Crapo and Rota [ " On the Foundations of Combinatorial Theory: Combinatorial Geometries, " M.I.T. Press, Cambridge, MA, 19703 to Dowling group geometries. If A is a finite group, Q,(A) is the rank-r Dowling group geometry over A, and M is a rank-r matroid embeddable as a minor of Q,(A), then it is shown that the critical exponent of M over A is well de...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series B

سال: 1989

ISSN: 0095-8956

DOI: 10.1016/0095-8956(89)90067-1