John Sheekey

most citedCanonical forms of

2 \times 3 \times 3

tensors over the real field, algebraically closed fields, and finite fields

3 citations · 3 across the 1 of their papers we have counts for

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math.CO2023

Cyclic 2-Spreads in $V (6, q)$ and Flag-Transitive Affine Linear Spaces

Cian Jameson, John Sheekey

In this paper we completely classify spreads of 2-dimensional subspaces of a 6-dimensional vector space over a finite field of characteristic not two or three upon which a cyclic g…

math.CO2023

On Translation Hyperovals in Semifield Planes

Kevin Allen, John Sheekey

In this paper we demonstrate the first example of a finite translation plane which does not contain a translation hyperoval, disproving a conjecture of Cherowitzo. The counterexamp…

math.CO2014★ 3 cited

Canonical forms of $2 \times 3 \times 3$ tensors over the real field, algebraically closed fields, and finite fields

Michel Lavrauw, John Sheekey

We classify the orbits of elements of the tensor product spaces $F^{2} \otimes F^{3} \otimes F^{3}$ for all finite; real; and algebraically closed fields…

Cyclic 2-Spreads in V(6,q) and Flag-Transitive Affine Linear Spaces

On Translation Hyperovals in Semifield Planes

Canonical forms of 2×3×3 tensors over the real field, algebraically closed fields, and finite fields

Cyclic 2-Spreads in $V (6, q)$ and Flag-Transitive Affine Linear Spaces

Canonical forms of $2 \times 3 \times 3$ tensors over the real field, algebraically closed fields, and finite fields