On the automorphism groups of Dowling geometries

Gary K. Schwartz

doi:10.1017/S096354830200514X

On the automorphism groups of Dowling geometries

Gary K. Schwartz

Research output: Contribution to journal › Article › peer-review

Abstract

In 'Automorphisms of Dowling lattices and related geometries', J. Bonin constructed the automorphism group A of a Dowling lattice as the image of a certain semidirect product, A = θ(K ⋊ H). In this work we find necessary and sufficient conditions for this quotient to be the semidirect product A = θ(K) ⋊ θ(H). In addition, we include a construction of A that lends itself to computation more readily than that found in Bonin's work.

Original language	English
Pages (from-to)	311-321
Number of pages	11
Journal	Combinatorics Probability and Computing
Volume	11
Issue number	3
DOIs	https://doi.org/10.1017/S096354830200514X
State	Published - May 2002
Externally published	Yes

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title = "On the automorphism groups of Dowling geometries",

abstract = "In 'Automorphisms of Dowling lattices and related geometries', J. Bonin constructed the automorphism group A of a Dowling lattice as the image of a certain semidirect product, A = θ(K ⋊ H). In this work we find necessary and sufficient conditions for this quotient to be the semidirect product A = θ(K) ⋊ θ(H). In addition, we include a construction of A that lends itself to computation more readily than that found in Bonin's work.",

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AB - In 'Automorphisms of Dowling lattices and related geometries', J. Bonin constructed the automorphism group A of a Dowling lattice as the image of a certain semidirect product, A = θ(K ⋊ H). In this work we find necessary and sufficient conditions for this quotient to be the semidirect product A = θ(K) ⋊ θ(H). In addition, we include a construction of A that lends itself to computation more readily than that found in Bonin's work.

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JO - Combinatorics Probability and Computing

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On the automorphism groups of Dowling geometries

Abstract

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