On the Automorphism Groups
of Dowling Geometries
Keyword(s):
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.
2016 ◽
Vol 15
(03)
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pp. 1650056
1984 ◽
Vol 27
(1)
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pp. 59-60
1979 ◽
Vol 28
(3)
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pp. 335-345
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1983 ◽
Vol 26
(2)
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pp. 233-240
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1988 ◽
Vol 30
(3)
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pp. 271-274
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2014 ◽
Vol 16
(03)
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pp. 1350047
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2015 ◽
Vol 25
(05)
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pp. 889-897