In 2013, the first and the second author of this paper described a construction of the projective plane PG(2, q( 2) ) from the unitary group PSU(3, q ), for q = 3, 4, 5, 7. The construction is obtained by using a computer. In the same paper, it is conjectured that in a similar way one can construct the projective plane PG(2, q( 2) ) from the unitary group PSU(3, q ), for every prime power q. In this paper, we give a construction of a Desarguesian projective plane from a unitary group that confirms this conjecture.

CONSTRUCTION OF THE PROJECTIVE PLANE PG(2, q^2) FROM THE UNITARY GROUP PSU(3, q) / Crnkovic, D; Crnkovic, Vm; Pavese, F; Svob, A. - In: CONTRIBUTIONS TO DISCRETE MATHEMATICS. - ISSN 1715-0868. - 19:3(2024), pp. 178-183.

CONSTRUCTION OF THE PROJECTIVE PLANE PG(2, q^2) FROM THE UNITARY GROUP PSU(3, q)

Pavese, F;
2024-01-01

Abstract

In 2013, the first and the second author of this paper described a construction of the projective plane PG(2, q( 2) ) from the unitary group PSU(3, q ), for q = 3, 4, 5, 7. The construction is obtained by using a computer. In the same paper, it is conjectured that in a similar way one can construct the projective plane PG(2, q( 2) ) from the unitary group PSU(3, q ), for every prime power q. In this paper, we give a construction of a Desarguesian projective plane from a unitary group that confirms this conjecture.
2024
CONSTRUCTION OF THE PROJECTIVE PLANE PG(2, q^2) FROM THE UNITARY GROUP PSU(3, q) / Crnkovic, D; Crnkovic, Vm; Pavese, F; Svob, A. - In: CONTRIBUTIONS TO DISCRETE MATHEMATICS. - ISSN 1715-0868. - 19:3(2024), pp. 178-183.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/278480
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