Exterior Algebra and an Extension of the Feng-Sun-Xiang Theorem in $p$-groups

Zhi-Wei Sun, Lilu Zhao

Let $G$ be a finite group with $|G|=p^m$ where $p$ is a prime and $m$ is a positive integer. Let $k<p$. Let $a_1,\dots ,a_k\in G$ be pairwise distinct and let $b_1,\dots ,b_k\in G$…