On ramification structures for finite nilpotent groups

Şükran GÜL

Article Details

On ramification structures for finite nilpotent groups

Authors:

Şükran GÜL

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1642-1652

Document Type:

Article

Publication Date:

12/2019

Document Language:

English

Document ID (Org No.):

2000451327

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

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 ppp-subgroups have a `nice power structure', including regular ppp-groups, powerful ppp-groups and (generalized) ppp-central ppp-groups. We also correct two errors in [Beauville surfaces, moduli spaces and finite groups, Comm. Algebra, 2014] regarding abelian 222-groups with ramification structures and the relation between the sizes of ramification structures for an abelian group and those for its Sylow 222-subgroup.

Article Details

On ramification structures for finite nilpotent groups

Authors: Şükran GÜL

Publisher: Hacettepe University

Main Topics: Mathematics

Journal: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1642-1652

Document Type: Article

Publication Date: 12/2019

Document Language: English

Document ID (Org No.): 2000451327

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Şükran GÜL

Publisher:

Hacettepe University

Main Topics:

Mathematics

Journal:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1642-1652

Document Type:

Article

Publication Date:

12/2019

Document Language:

English

Document ID (Org No.):

2000451327

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X