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- W3131554515 abstract "The orbital diameter of a primitive permutation group is the maximal diameter of its orbital graphs. There has been a lot of interest in bounds for the orbital diameter. In this paper we provide explicit bounds on the diameters of groups of simple diagonal type. As a consequence we obtain a classification of simple diagonal groups with orbital diameter less than or equal to 4. As part of this, we classify all finite simple groups with covering number and conjugacy width at most 3. We also prove some general bounds on the covering number and conjugacy width of groups of Lie type." @default.
- W3131554515 created "2021-03-01" @default.
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- W3131554515 date "2022-08-01" @default.
- W3131554515 modified "2023-09-27" @default.
- W3131554515 title "On the orbital diameter of groups of diagonal type" @default.
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- W3131554515 doi "https://doi.org/10.1016/j.jcta.2022.105636" @default.
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