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arXiv · 2610.34718

The_Quadratic_Conjecture_and_p-groups_of_maximal_class

Jingjing Duan·Lijian An
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Abstract

The Quadratic Conjecture for finite p-groups, which is equivalent to the Strong Oliver Conjecture, asserts that if a finite p-group G acts faithfully on an F-module V, then the center Z(G) contains a quadratic element. In this paper, we investigate the structure of maximal class p-groups and establish that they satisfy the Quadratic Conjecture.

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Jingjing Duan, Lijian An. 2026-10-26. The_Quadratic_Conjecture_and_p-groups_of_maximal_class. https://arxiv.org/abs/2610.34718

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