Publication date
January 2012
DOI Publisher
Springer Science and Business Media LLCAbstract
We characterize the classical unitals as the only unitals in which the stabilizer of two distinct points has order q^2-1
We characterize the classical unitals as the only unitals in which the stabilizer of two distinct points has order q^2-1
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)...
We identify the points of PG(2, q) ith the directions of lines in GF(q 3), viewed as a 3-dimensional...
We characterize the classical unitals as the only unitals in which the stabilizer of two distinct po...
A short proof is given for the following theorem: A unital in $PG(2,q)$ is classical if and only if ...
The linear collineation group of a classical unital of PG(2,q^2) contains a subgroup of homologies ...
The linear collineation group of a classical unital of PG(2, q^2) contains a group of homologies of ...
A characterization of the classical unitals is given in terms of certain geometrical properties
AbstractLet U be a unital embedded in the Desarguesian projective plane PG(2,q2). Write M for the su...
Let G be the group of projectivities stabilizing a unital U in PG(2,q^2) and let A,B be two distinc...
If every point of a unital is fixed by a non-trivial translation and at least one translation has or...
We define Buekenhout unitals in derivable translation planes of dimension 2 over their kernel and pr...
AbstractLet U be a unital in PG(2,q2), q=ph and let G be the group of projectivities of PG(2,q2) sta...
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)...
We identify the points of PG(2, q) ith the directions of lines in GF(q 3), viewed as a 3-dimensional...
We characterize the classical unitals as the only unitals in which the stabilizer of two distinct po...
A short proof is given for the following theorem: A unital in $PG(2,q)$ is classical if and only if ...
The linear collineation group of a classical unital of PG(2,q^2) contains a subgroup of homologies ...
The linear collineation group of a classical unital of PG(2, q^2) contains a group of homologies of ...
A characterization of the classical unitals is given in terms of certain geometrical properties
AbstractLet U be a unital embedded in the Desarguesian projective plane PG(2,q2). Write M for the su...
Let G be the group of projectivities stabilizing a unital U in PG(2,q^2) and let A,B be two distinc...
If every point of a unital is fixed by a non-trivial translation and at least one translation has or...
We define Buekenhout unitals in derivable translation planes of dimension 2 over their kernel and pr...
AbstractLet U be a unital in PG(2,q2), q=ph and let G be the group of projectivities of PG(2,q2) sta...
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)...
We identify the points of PG(2, q) ith the directions of lines in GF(q 3), viewed as a 3-dimensional...
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