PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, vol.120, no.2, pp.220-241, 2020 (SCI-Expanded)
Article / Article
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, MathSciNet, zbMATH, DIALNET
20D15 (primary), 14J29, 20F69 (secondary), SURFACES
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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.