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math.GR2025
The derangements subgroup in a finite permutation group and the Frobenius--Wielandt Theorem
R. A. Bailey, P. J. Cameron, N. Gavioli +1
It is known that if the derangements subgroup of a transitive non-regular permutation group is a proper subgroup, then it is a Frobenius--Wielandt kernel, and, conversely, minimal…
math.GR2017★ 3 cited
Beauville -groups of wild type and groups of maximal class
Gustavo A. Fernández-Alcober, Norberto Gavioli, Şükran Gül +1
Let be a Beauville finite -group. If exhibits a `good behaviour' with respect to taking powers, then every lift of a Beauville structure of is a Beauville struc…