On quadratic conjecture
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...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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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| DOI: | 10.48550/arxiv.2309.10474 |