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- W4284978246 abstract "A group $G$ is integrable if it is isomorphic to the derived subgroup of a group $H$; that is, if $H'simeq G$, and in this case $H$ is an integral of $G$. If $G$ is a subgroup of $U$, we say that $G$ is integrable within $U$ if $G=H'$ for some $Hleq U$. In this work we focus on two problems posed in [1]. We classify the almost-simple finite groups $G$ that are integrable, which we show to be equivalent to those integrable within $mathrm{Aut}(S)$, where $S$ is the socle of $G$. We then classify all $2$-homogeneous subgroups of the finite symmetric group $S_n$ that are integrable within $S_n$." @default.
- W4284978246 created "2022-07-10" @default.
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- W4284978246 date "2022-07-07" @default.
- W4284978246 modified "2023-09-30" @default.
- W4284978246 title "On some questions related to integrable groups" @default.
- W4284978246 doi "https://doi.org/10.48550/arxiv.2207.03259" @default.
- W4284978246 hasPublicationYear "2022" @default.
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