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math.GR2018
On the asymptotic behaviour of the number of Beauville and non-Beauville -groups
Gustavo A. Fernández-Alcober, Şükran Gül, Matteo Vannacci
We find asymptotic lower bounds for the numbers of both Beauville and non-Beauville -generator finite -groups of a fixed order, which turn out to coincide with the best known…
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…
math.GR2017★ 1 cited
Metabelian thin Beauville -groups
Norberto Gavioli, Şükran Gül, Carlo Scoppola
A non-cyclic finite -group is said to be thin if every normal subgroup of lies between two consecutive terms of the lower central series and …