Copyright © 1991 Published by Elsevier Science B.V. All rights reserved.
Non-embedding of non prime- power unitals with point-regular group
Received 6 January 1989;
revised 10 June 1989.
Dedicated to Professor R.G. Stanton.
Available online 27 March 2002.
Abstract
Mathon (1987) and B. Bagchi and S. Bagchi have constructed a class of Steiner 2-designs, including some unitals, admitting a point-regular automorphism group. We show that any unital constructed by this method cannot be embedded in a projective plane π in such a way that the unital arises from a polarity and the point-regular group of the unital is induced by an automorphism group of π.






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