论文标题
异国情调的融合系统与零星简单组有关（带代码的版本）
Exotic Fusion Systems Related to Sporadic Simple Groups (Version With Code)
论文作者
论文摘要
我们描述了几种与奇数素数相关的异国情调融合系统。更笼统地，我们对Conway Group $ \ Mathrm {Co} _1 $和Thompson Group $ \ Mathrm {F} _3 $ $ 3 $ \ Mathrm {Co} _1 $ $ 3 $ -SUBGROUP的饱和融合系统进行分类$ P $ - 组。这项工作得到了岩浆中计算的支持。
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 $\mathrm{F}_3$, and a Sylow $5$-subgroup of the Monster $\mathrm{M}$, as well as a particular maximal subgroup of the latter two $p$-groups. This work is supported by computations in MAGMA.
