J. Bamberg

activity

20162022

2

-transitive unitary, Suzuki, and Ree groups

1 citations · 4 across the 6 of their papers we have counts for

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math.GR2021

Orbits of Sylow subgroups of finite permutation groups

John Bamberg, Alexander Bors, Alice Devillers +3

We say that a finite group $G$ acting on a set $Ω$ has Property $(*)_{p}$ for a prime $p$ if $P_{ω}$ is a Sylow $p$ -subgroup of $G_{ω}$ for all $ω \in Ω$ and Sylow $p$ -subgroups $P$ of $G$ …

math.GR2019

A classification of finite locally 2-transitive generalized quadrangles

John Bamberg, Cai Heng Li, Eric Swartz

Ostrom and Wagner (1959) proved that if the automorphism group $G$ of a finite projective plane $π$ acts $2$ -transitively on the points of $π$ , then $π$ is isomorphic to the Desarg…

math.GR2017★ 1 cited

Simple groups, product actions, and generalised quadrangles

John Bamberg, Tomasz Popiel, Cheryl E. Praeger

The classification of flag-transitive generalised quadrangles is a long-standing open problem at the interface of finite geometry and permutation group theory. Given that all known…