Youming Qiao

activity

20242026

collaborators

3 papers

math.GR2026

From almost tight $p$ -group enumeration to $2$ -group domination among finite groups

Yinan Li, Youming Qiao

Let $f (n)$ denote the number of isomorphism classes of groups of order $n$ . The pioneering works of Higman (\emph{Proc. Lond. Math. Soc.}, 1960) and Sims (\emph{Proc. Lond. Math. S…

math.CO2025

On average orders of automorphism groups of bilinear maps over finite fields

Markus Bläser, Yinan Li, Youming Qiao +1

Let $φ : V \times V \to W$ be a bilinear map of finite vector spaces $V$ and $W$ over a finite field $F_{q}$ . We present asymptotic bounds on the number of isomorphism classes o…

math.CO2024

A q-analogue of graph independence polynomials with a group-theoretic interpretation

Youming Qiao

We define totally-isotropic polynomials of alternating matrix spaces over finite fields, by analogy with independence polynomials of graphs. Our main result shows that totally-isot…

From almost tight p-group enumeration to 2-group domination among finite groups

On average orders of automorphism groups of bilinear maps over finite fields

A q-analogue of graph independence polynomials with a group-theoretic interpretation

From almost tight $p$ -group enumeration to $2$ -group domination among finite groups