Decomposing modular tensor products, and periodicity of `Jordan partitions'

S. P. Glasby, Cheryl E. Praeger, Binzhou Xia

Let $J_r$ denote an $r\times r$ matrix over a finite field $F$ with minimal and characteristic polynomials $(t-1{)}^r$. Suppose $r\le s$. It is not hard to show that the Jordan cano…