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- W4330339516 abstract "We consider the quotient group $T(G)$ of the multiple holomorph by the holomorph of a finite $p$-group $G$ of class two for an odd prime $p$. By work of the first-named author, we know that $T(G)$ contains a cyclic subgroup of order $p^{r-1}(p-1)$, where $p^r$ is the exponent of the quotient of $G$ by its center. In this paper, we shall exhibit examples of $G$ (with $r = 1$) such that $T(G)$ has order exactly $p-1$, which is as small as possible." @default.
- W4330339516 created "2023-03-22" @default.
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- W4330339516 date "2023-03-19" @default.
- W4330339516 modified "2023-09-23" @default.
- W4330339516 title "Finite $p$-groups of class two with a small multiple holomorph" @default.
- W4330339516 doi "https://doi.org/10.48550/arxiv.2303.10638" @default.
- W4330339516 hasPublicationYear "2023" @default.
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