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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AU - Schwartz, Gary K.

PY - 2002/5

Y1 - 2002/5

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/0036016670

U2 - 10.1017/S096354830200514X

DO - 10.1017/S096354830200514X

M3 - Article

AN - SCOPUS:0036016670

SN - 0963-5483

VL - 11

SP - 311

EP - 321

JO - Combinatorics Probability and Computing

JF - Combinatorics Probability and Computing

IS - 3

ER -

On the automorphism groups of Dowling geometries

Abstract

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