University of Sydney
School of Mathematics and Statistics
University of Auckland
Recognising tensor products and tensor-induced matrix groups.
Wednesday 13th December, 2-3pm, Carslaw 275.
We discuss two related algorithms to recognise whether
or not a given subgroup of GL(d, q) is a tensor product
or is tensor-induced, and if so, to exhibit explicitly
these decompositions. In particular we show that a
matrix group which is a tensor product preserves a
projective geometry on the underlying vector space,
and exploit this equivalence to obtain the decomposition.