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- W4287697974 abstract "In this paper, we find a strong new restriction on the structure of CI-groups. We show that, if $R$ is a generalised dihedral group and if $R$ is a CI-group, then for every odd prime $p$ the Sylow $p$-subgroup of $R$ has order $p$, or $9$. Consequently, any CI-group with quotient a generalised dihedral group has the same restriction, that for every odd prime $p$ the Sylow $p$-subgroup of the group has order $p$, or $9$. We also give a counter example to the conjecture that every BCI-group is a CI-group." @default.
- W4287697974 created "2022-07-26" @default.
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- W4287697974 date "2020-08-01" @default.
- W4287697974 modified "2023-10-16" @default.
- W4287697974 title "Generalised dihedral CI-groups" @default.
- W4287697974 doi "https://doi.org/10.48550/arxiv.2008.00200" @default.
- W4287697974 hasPublicationYear "2020" @default.
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