Construction of the projective plane PG(2,q2) from the unitary group PSU(3,q)
DOI:
https://doi.org/10.55016/ojs/cdm.v19i3.68885Abstract
In 2013, the first and the second author of this paper described a construction of the projective plane PG(2,q2) 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,q2) 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.
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Copyright (c) 2024 Dean Crnkovic, Vedrana Mikulic Crnkovic, Francesco Pavese, Andrea Svob
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