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arXiv · 1711.08483

On ramification structures for finite nilpotent groups

Şükran Gül
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Abstract

We extend the characterization of abelian groups with ramification structures given by Garion and Penegini 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 the result of Garion and Penegini 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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Şükran Gül. 2017-11-22. On ramification structures for finite nilpotent groups. https://arxiv.org/abs/1711.08483

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