40 citations · 42 across the 5 of their papers we have counts for
5 papers
Subspaces of 7 x 7 skew-symmetric matrices related to the group G_2
Roderick Gow
Let be a field of characteristic different from 2 and let be an octonion algebra over . We show that there is a seven-dimensional subspace of skew-symmetric…
Galois extensions and subspaces of bilinear forms with special rank properties
Rod Gow, Rachel Quinlan
Let K be a field admitting a cyclic Galois extension of degree n. The main result of this paper is a decomposition theorem for the space of alternating bilinear forms defined on a…
Parity properties of Costas arrays defined via finite fields
Konstantinos Drakakis, Rod Gow, Scott rickard
A Costas array of order is an arrangement of dots and blanks into rows and columns, with exactly one dot in each row and each column, the arrangement satisfying certain…
Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents
Rod Gow, C. Ryan Vinroot
When n is odd, consider the finite general linear and unitary groups of rank n, extended by the inverse transpose automorphism. There are elements in the extended groups which squa…
Generation of mutually unbiased bases as powers of a unitary matrix in 2-power dimensions
Rod Gow
Let q be a power of 2. We show by representation theory that there exists a q x q unitary matrix of multiplicative order q+1 whose powers generate q+1 pairwise mutually unbiased ba…