Hacettepe Journal of Mathematics and Statistics 2651-477X 2651-477X Hacettepe University Mathematical Sciences Matematik On ramification structures for finite nilpotent groups https://orcid.org/0000-0003-4792-7084 Gül Şükran University of the Basque Country 12 08 2019 48 6 1642 1652 11 22 2017 05 28 2018 Copyright © 2002, Hacettepe Journal of Mathematics and Statistics 2002 Hacettepe Journal of Mathematics and Statistics

We extend the characterization of abelian groups with ramification structures given by Garion and Penegini in [Beauville surfaces, moduli spaces and finite groups, Comm. Algebra, 2014] to finite nilpotent groups whose Sylow $p$-subgroups have a `nice power structure', including regular $p$-groups, powerful $p$-groups and (generalized) $p$-central $p$-groups. We also correct two errors in [Beauville surfaces, moduli spaces and finite groups, Comm. Algebra, 2014] regarding abelian $2$-groups with ramification structures and the relation between the sizes of ramification structures for an abelian group and those for its Sylow $2$-subgroup.

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