Scott Brown

most citedProportions of Cyclic Matrices in Maximal Reducible Matrix Groups and Algebras

3 citations · 3 across the 2 of their papers we have counts for

collaborators

2 papers

math.RA2014

Proportion of cyclic matrices in maximal reducible matrix algebras

Scott Brown, Michael Giudici, S. P. Glasby +1

Let $M (V) = M (n, F_{q})$ denote the algebra of $n \times n$ matrices over $F_{q}$ , and let $M (V)_{U}$ denote the (maximal reducible) subalgebra that norma…

math.GR2011★ 3 cited

Proportions of Cyclic Matrices in Maximal Reducible Matrix Groups and Algebras

Scott Brown, Cheryl E. Praeger, Michael Giudici

A matrix is said to be {\it cyclic} if its characteristic polynomial is equal to its minimal polynomial. Cyclic matrices play an important role in some algorithms for matrix group…