Copy For Citation
Fernandez-Alcober G. A., Gül Erdem Ş., Vannacci M.
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, vol.120, no.2, pp.220-241, 2020 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
120
Issue:
2
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Publication Date:
2020
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Doi Number:
10.1112/plms.12295
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Journal Name:
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, DIALNET
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Page Numbers:
pp.220-241
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Keywords:
20D15 (primary), 14J29, 20F69 (secondary), SURFACES
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TED University Affiliated:
Yes
Abstract
We find asymptotic lower bounds for the numbers of both Beauville and non-Beauville 2-generator finite p-groups of a fixed order, which turn out to coincide with the best known asymptotic lower bound for the total number of 2-generator finite p-groups of the same order. This shows that both Beauville and non-Beauville groups are abundant within the family of finite p-groups.