Beauville structures in p-central quotients
نویسندگان
چکیده
منابع مشابه
Beauville p-groups: a survey
Beauville surfaces are a class of complex surfaces defined by letting a finite group G act on a product of Riemann surfaces. These surfaces possess many attractive geometric properties several of which are dictated by properties of the group G. In this survey we discuss the p-groups that may be used in this way. En route we discuss several open problems, questions and conjectures.
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We examine which p-groups of order ≤ p6 are Beauville. We completely classify them for groups of order ≤ p4. We also show that the proportion of 2-generated groups of order p5 which are Beauville tends to 1 as p tends to infinity; this is not true, however, for groups of order p6. For each prime p we determine the smallest non-abelian Beauville p-group.
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ژورنال
عنوان ژورنال: Journal of Group Theory
سال: 2017
ISSN: 1433-5883,1435-4446
DOI: 10.1515/jgth-2016-0031