
School of Mathematics and Statistics
Eamonn O'Brien
University of Auckland
Recognising tensor products and tensorinduced matrix groups.
Wednesday 13th December, 23pm, 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 tensorinduced, 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.
