Author

Christopher Herbig

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Preprint Aug 2026

A Determination of $B$-groups of Order $p^4$

A group $H$ is said to be a $B$-group if whenever a primitive permutation group $G$ contains a regular subgroup isomorphic to $H$, then $G$ is doubly transitive. Going as far back as William Burnside, several authors have investigated whether certain families of groups are $B$-groups. Using the O'Nan-Scott Theorem as o...

Christopher Herbig · 0 citations