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Discrete Mathematics
Volume 98, Issue 1, 13 December 1991, Pages 23-28
 
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doi:10.1016/0012-365X(91)90409-U    
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Copyright © 1991 Published by Elsevier Science B.V. All rights reserved.

Non-embedding of non prime- power unitals with point-regular group

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Wen-Ai Jackson, Fred Piper and Peter Wild

Royal Holloway and Bedford New College, Department of Mathematics, University of London, Egham Hill, Egham, Surrey, UK, TW20 0EX


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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Discrete Mathematics
Volume 98, Issue 1, 13 December 1991, Pages 23-28
 
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