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## On ramification structures for finite nilpotent groups

#### Şükran GÜL [1]

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.
ramification structures, Beauville structures, finite nilpotent groups, finite $p$-groups
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Primary Language en Mathematics Mathematics Orcid: 0000-0003-4792-7084Author: Şükran GÜL (Primary Author)Institution: University of the Basque CountryCountry: Spain Publication Date : December 8, 2019
 Bibtex @research article { hujms656660, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2019}, volume = {48}, pages = {1642 - 1652}, doi = {}, title = {On ramification structures for finite nilpotent groups}, key = {cite}, author = {GÜL, Şükran} }` APA GÜL, Ş . (2019). On ramification structures for finite nilpotent groups. Hacettepe Journal of Mathematics and Statistics , 48 (6) , 1642-1652 . Retrieved from https://dergipark.org.tr/en/pub/hujms/issue/50516/656660 MLA GÜL, Ş . "On ramification structures for finite nilpotent groups". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1642-1652 Chicago GÜL, Ş . "On ramification structures for finite nilpotent groups". Hacettepe Journal of Mathematics and Statistics 48 (2019 ): 1642-1652 RIS TY - JOUR T1 - On ramification structures for finite nilpotent groups AU - Şükran GÜL Y1 - 2019 PY - 2019 N1 - DO - T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1642 EP - 1652 VL - 48 IS - 6 SN - 2651-477X-2651-477X M3 - UR - Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On ramification structures for finite nilpotent groups %A Şükran GÜL %T On ramification structures for finite nilpotent groups %D 2019 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 48 %N 6 %R %U ISNAD GÜL, Şükran . "On ramification structures for finite nilpotent groups". Hacettepe Journal of Mathematics and Statistics 48 / 6 (December 2019): 1642-1652 . AMA GÜL Ş . On ramification structures for finite nilpotent groups. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1642-1652. Vancouver GÜL Ş . On ramification structures for finite nilpotent groups. Hacettepe Journal of Mathematics and Statistics. 2019; 48(6): 1652-1642.