We define Buekenhout unitals in derivable translation planes of dimension 2 over their kernel and provide a characterization of these unitals. We use this result to improve the characterization of classical unitals given by Lefèvre-Percsy [13] and Faina and Korchmáros [7].S.G. Barwic
The original publication can be found at www.springerlink.comThis article proves a characterisation ...
A short proof is given for the following theorem: A unital in $PG(2,q)$ is classical if and only if ...
A unital in PG(2, q^2) is a set U of q^3+1 points such that each line meets U in 1 or q +1 points. T...
We prove that a parabolic unital U in a translation plane π of order q2 with kernel containing GF(q)...
A characterization of the classical unitals is given in terms of certain geometrical properties
If every point of a unital is fixed by a non-trivial translation and at least one translation has or...
The unitals in the Hall plane are studied by deriving PG(2, q2) and observing the effect on the unit...
We provide short proofs that suitable unitals in derivable projective planes give rise to unitals in...
We characterize the classical unitals as the only unitals in which the stabilizer of two distinct po...
We show that if U is a Buekenhout-Metz unital (with respect to a point P) in any translation plane o...
We present a new construction of non-classical unitals from a classical unital $\cU$ in $\PG(2,q^2)$...
AbstractWe present a new construction of non-classical unitals from a classical unital U in PG(2,q2)...
Unitals are key structures in projective planes, and have connections with other structures in algeb...
Let U be the classical unital in PG(2, q2) secant to ℓ∞. By deriving PG(2, q2) with respect to a der...
We identify the points of PG(2, q) ith the directions of lines in GF(q 3), viewed as a 3-dimensional...
The original publication can be found at www.springerlink.comThis article proves a characterisation ...
A short proof is given for the following theorem: A unital in $PG(2,q)$ is classical if and only if ...
A unital in PG(2, q^2) is a set U of q^3+1 points such that each line meets U in 1 or q +1 points. T...
We prove that a parabolic unital U in a translation plane π of order q2 with kernel containing GF(q)...
A characterization of the classical unitals is given in terms of certain geometrical properties
If every point of a unital is fixed by a non-trivial translation and at least one translation has or...
The unitals in the Hall plane are studied by deriving PG(2, q2) and observing the effect on the unit...
We provide short proofs that suitable unitals in derivable projective planes give rise to unitals in...
We characterize the classical unitals as the only unitals in which the stabilizer of two distinct po...
We show that if U is a Buekenhout-Metz unital (with respect to a point P) in any translation plane o...
We present a new construction of non-classical unitals from a classical unital $\cU$ in $\PG(2,q^2)$...
AbstractWe present a new construction of non-classical unitals from a classical unital U in PG(2,q2)...
Unitals are key structures in projective planes, and have connections with other structures in algeb...
Let U be the classical unital in PG(2, q2) secant to ℓ∞. By deriving PG(2, q2) with respect to a der...
We identify the points of PG(2, q) ith the directions of lines in GF(q 3), viewed as a 3-dimensional...
The original publication can be found at www.springerlink.comThis article proves a characterisation ...
A short proof is given for the following theorem: A unital in $PG(2,q)$ is classical if and only if ...
A unital in PG(2, q^2) is a set U of q^3+1 points such that each line meets U in 1 or q +1 points. T...
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