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arXiv · 2309.10474

On quadratic conjecture

Jingjing Duan·Lijian An
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Abstract

Quadratic conjecture is a strengthening of oliver's $p$-group conjecture. Let $G$ be a $p$-group of maximal class of order $p^n$. We prove that if $n\le 8$ or $n\ge \max\{2p-6,p+2\}$ then $G$ satisfies Quadratic Conjecture. Hence quadratic conjecture holds if $G$ is a $p$-group of maximal class where $p\le 7$.

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Jingjing Duan, Lijian An. 2023-09-19. On quadratic conjecture. https://arxiv.org/abs/2309.10474

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