Series of p-groups with Beauville structure

For every p ≥ 2 we show that each finite p -group with an unmixed Beauville structure is part of a surjective infinite projective system of finite p -groups with compatible unmixed Beauville structures. This leads to the new notion of an unmixed topological Beauville structure on pro-finite groups....

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Bibliographic Details
Published in:Monatshefte für Mathematik 2016-09, Vol.181 (1), p.177-186
Main Authors: Stix, Jakob, Vdovina, Alina
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:For every p ≥ 2 we show that each finite p -group with an unmixed Beauville structure is part of a surjective infinite projective system of finite p -groups with compatible unmixed Beauville structures. This leads to the new notion of an unmixed topological Beauville structure on pro-finite groups. We further construct for p ≥ 5 a new explicit infinite series of non-abelian p -groups that allow unmixed Beauville structures.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-015-0805-9