Recognizing \(\mathrm{PSL}(2,p)\) in the non-Frattini chief factors of finite groups.

DOI10.1007/S00013-016-0869-3zbMath1342.20019arXiv1502.05080OpenAlexW2100437075MaRDI QIDQ258040

Duong Hoang Dung

Publication date: 17 March 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05080

zbMATH Keywords

finite groupsFrattini chief factorsrandom elementsprobabilistic zeta functionsprojective special linear groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05) Simple groups: alternating groups and groups of Lie type (20D06) Probabilistic methods in group theory (20P05)

Uses Software

• GAP

Cites Work

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• Positively finitely generated groups
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• Finite Groups withp-Multiplicative Probabilistic Zeta Function
• COEFFICIENTS OF THE PROBABILISTIC FUNCTION OF A MONOLITHIC GROUP
• THE EULERIAN FUNCTIONS OF A GROUP

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