Author

Huan Xiong

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Preprint Oct 2026

Low-degree filtrations in ordinary and Lagrangian Grassmannian cohomology

We prove the Hilbert-series formulas conjectured by Reiner--Tudose and by the Polymath Jr. Grassmannian group for the subalgebras of ordinary and Lagrangian Grassmannian cohomology generated in bounded degree. We determine the finite coefficient images underlying the proofs, together with the kernels of the coefficient...

Huan Xiong · 0 citations

Preprint Oct 2026

Abelian composition factors of finite rational groups

Motivated by an observation concerning the $S_3$-conjecture, we prove that every abelian composition factor of a finite rational group has order $2$, $3$, or $5$. Thompson previously restricted these orders to $\{2,3,5,7,11\}$; we exclude $7$ and $11$, establishing the bound that he proposed. Together with the work of...

Jun-Ying Guo, Yan-Jun Liu, Huan Xiong · 1 citation