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pro vyhledávání: '"van Beek, Martin"'
Autor:
van Beek, Martin
We determine all reduced saturated fusion systems supported on a finite $p$-group of nilpotency class two. As a consequence, we obtain a new proof of Gilman & Gorenstein's classification of finite simple groups with class two Sylow $2$-subgroups.
Externí odkaz:
http://arxiv.org/abs/2409.18870
Autor:
van Beek, Martin
For any prime $p$ and $S$ a $p$-group isomorphic to a Sylow $p$-subgroup of a rank $2$ simple group of Lie type in characteristic $p$, we determine all saturated fusion systems supported on $S$ up to isomorphism.
Externí odkaz:
http://arxiv.org/abs/2302.02222
Autor:
van Beek, Martin
We classify fusion systems $\mathcal{F}$ in which $O_p(\mathcal{F})=\{1\}$, and there are two $\mathrm{Aut}_{\mathcal{F}}(S)$-invariant essential subgroups whose normalizer systems generate $\mathcal{F}$. We employ the amalgam method and, as a bonus,
Externí odkaz:
http://arxiv.org/abs/2210.01013
Autor:
van Beek, Martin
We describe several exotic fusion systems related to the Sporadic simple groups at odd primes. More generally, we classify saturated fusion systems supported on Sylow $3$-subgroups of the Conway group $\mathrm{Co}_1$ and the Thompson group $\mathrm{F
Externí odkaz:
http://arxiv.org/abs/2201.01790
Autor:
van Beek, Martin
For any prime $p$ and $S$ a $p$-group isomorphic to a Sylow $p$-subgroup of $\mathrm{G}_2(p^n)$ or $\mathrm{PSU}_4(p^n)$ with $n\in\mathbb{N}$, we determine all saturated fusion systems supported on $S$ up to isomorphism.
Externí odkaz:
http://arxiv.org/abs/2108.11691
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