Generating functions for the powers in $\text{GL}(n,q)$

Rijubrata Kundu, Anupam Singh

Consider the set of all powers $\text{GL}(n,q{)}^M=\{x^M\mid x\in \text{GL}(n,q)\}$ for an integer $M\ge 2$. In this article, we aim to enumerate the regular, regular semisimpl…