Author

Brecht Verbeken

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Preprint Aug 2026

Cyclic-by-abelian counterexamples to the second and third Zassenhaus conjectures

Let $r>1$ with $\gcd(r,30)=1$. We construct a finite group $G_r=(C_5\times C_3\times C_r)\rtimes W$, where $|W|=32$ and $G_r'\cong C_{60r}$, together with an augmentation-preserving automorphism $\alpha_r\in\operatorname{Aut}(\mathbb{Z}G_r)$ having no Zassenhaus factorization. The image $Y_r=\alpha_r(G_r)$ is a normali...

Brecht Verbeken · 0 citations

Open access Jul 2026

HOW DEEP DO LARGE LANGUAGE MODELS INTERNALIZE SCIENTIFIC LITERATURE AND CITATION PRACTICES?

It is found that LLMs systematically reinforce the Matthew effect by favoring highly cited papers, with field-specific variation in the rate at which generated references match real papers in bibliometric databases.

Andres Algaba, Vincent Holst, Floriano Tori et al. · Quantitative Science Studies · 2 citations