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On the Automorphism Groups of Dowling Geometries

Published online by Cambridge University Press:  10 July 2002

GARY K. SCHWARTZ
GARY K. SCHWARTZ
Affiliation:
University of Oklahoma, Norman, OK 73019–0315, USA (e-mail: schwartz@math.ou.edu)
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Abstract

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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 [rtimes] H). In this work we find necessary and sufficient conditions for this quotient to be the semidirect product A = θ(K) [rtimes] θ(H). In addition, we include a construction of A that lends itself to computation more readily than that found in Bonin's work.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 11 , Issue 3 , May 2002, pp. 311 - 321
Copyright
2002 Cambridge University Press