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Journal of the London Mathematical Society 1999 60(2):589-606; doi:10.1112/S0024610799007747
© 1999 by London Mathematical Society
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© The London Mathematical Society

Collineation Groups Preserving a Unital in a Projective Plane of Order m2 with m {equiv} 1(4)

Mauro Biliotti

Dipartimento di Matematica, Università di Lecce Via Arnesano, 73100 Lecce, Italy Biliotti{at}ilenic.unile.it

Received 13 June 1996. Revision received 25 November 1997.

The structure of a collineation group G preserving a unital in a projective plane of order m2 with m {equiv} 1(4) is investigated and several results are obtained about G, when G is a 2-group. These results are then used to investigate the structure of G/O(G) in the general case and, in particular, that of F*(G/O(G)).


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