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- W4385314642 abstract "A generating pair $x, y$ for a group $G$ is said to be textbf{textit{symmetric}} if there exists an automorphism $varphi_{x,y}$ of $G$ inverting both $x$ and $y$, that is, $x^{varphi_{x,y}}=x^{-1}$ and $y^{varphi_{x,y}}=y^{-1}$. Similarly, a group $G$ is said to be textbf{textit{strongly symmetric}} if $G$ can be generated with two elements and if all generating pairs of $G$ are symmetric. In this paper we classify the finite strongly symmetric non-abelian simple groups. Combinatorially, these are the finite non-abelian simple groups $G$ such that every orientably regular hypermap with monodromy group $G$ is reflexible." @default.
- W4385314642 created "2023-07-28" @default.
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- W4385314642 date "2021-03-05" @default.
- W4385314642 modified "2023-09-26" @default.
- W4385314642 title "Hypermaps over non-abelian simple groups and strongly symmetric generating sets" @default.
- W4385314642 doi "https://doi.org/10.48550/arxiv.2103.03777" @default.
- W4385314642 hasPublicationYear "2021" @default.
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