It will be a great pleasure for me if one can suggest "Survey Articles" on following topics related to the finite unipotent group $U(n,\mathbb{F}_q)$. (Thanks in advance!!!)
- The number of conjugacy classes in $U(n,\mathbb{F}_q)$.
The number of conjugacy classes in $U(n,\mathbb{F}_q)$.
(I saw some papers of Vera-Lopez, which give the number for $n\leq 5$; but it is published around 1992, so possibly, more work may have been done, I couldn't find it.)
The number of conjugacy classes of cyclic subgroups in $U(n,\mathbb{F}_q)$.
Complex Irreducible representations (or characters) of $U(n,\mathbb{F}_q)$.
(I saw some papers of Vera-Lopez, which give the number for $n\leq 5$; but it is published around 1992, so possibly, more work may have been done, I couldn't find it.)
The number of conjugacy classes of cyclic subgroups in $U(n,\mathbb{F}_q)$.
Complex Irreducible representations (or characters) of $U(n,\mathbb{F}_q)$.
(From the comment of Nick Gill, and others) Here $U(n,\mathbb{F}_q)$ is the group of upper uni-triangular matrices over finite field $\mathbb{F}_q$ .
