Liam Jolliffe

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-ary designs

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math.CO2020★ 1 cited

Universal $p$ -ary designs

Liam Jolliffe

We investigate $p$ -ary $t$ -designs which are simultaneously designs for all $t$ , which we call universal $p$ -ary designs. Null universal designs are well understood due to Gordon J…

math.CO2020

A Short Proof of the Rank Formula for Inclusion Matrices using the Representation Theory of the Symmetric Group

Liam Jolliffe

We present a new proof of the well known formula for the rank of the inclusion matrix by constructing a $k S_{n}$ -module spanned by the columns of this matrix and calculatin…

Universal p-ary designs

A Short Proof of the Rank Formula for Inclusion Matrices using the Representation Theory of the Symmetric Group

Universal $p$ -ary designs