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Automorphisms of Dowling Lattices and Related Geometries

Published online by Cambridge University Press:  12 September 2008

Joseph E. Bonin
Joseph E. Bonin
Affiliation:
Department of Mathematics, The George Washington University, Washington, DC. 20052
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Abstract

Dowling lattices are a class of geometric lattices, based on groups, which have been shown to share many properties with projective geometries. In this paper we show that the automorphisms of Dowling lattices are analogs of the automorphisms of projective geometries. We also treat similar results for several related geometric lattices.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 4 , Issue 1 , March 1995 , pp. 1 - 9
Copyright
Copyright © Cambridge University Press 1995

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