%0 Journal Article %T Upper bounds on the number of conjugacy classes in unitriangular groups %A Andrew Soffer %J Mathematics %D 2014 %I arXiv %X We provide a new upper bound on the number of conjugacy classes in the group $U_n(q)$ of unitriangular matrices over a finite field. We also compute a similar upper bound for every group in the lower central series of $U_n(q)$. %U http://arxiv.org/abs/1411.5389v2