The number of maximal subgroups and probabilistic generation of‎ ‎finite groups

DOI10.22108/ijgt.2019.114469.1521zbMath1443.20032OpenAlexW2913872761MaRDI QIDQ5124342

Hangyang Meng, Paz Jiménez-Seral, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/b26a9c25dace4c95b792c7c93ce5356f

zbMATH Keywords

finite groupprimitive groupmaximal subgroupprobabilistic generation

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Probabilistic methods in group theory (20P05)

Cites Work

• Unnamed Item
• Unnamed Item
• Random generation of finite and profinite groups and group enumeration.
• Simple groups, maximal subgroups, and probabilistic aspects of profinite groups
• Classes of finite groups and their properties
• Die Eulersche Funktion endlicher auflösbarer Gruppen
• Crowns and factorization of the probabilistic zeta function of a finite group.
• The expected number of random elements to generate a finite group.
• The probability of generating a finite simple group
• Generation and random generation: from simple groups to maximal subgroups.
• The probability of generating a finite classical group
• On the probability of generating a minimal d-generated group
• The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group
• Maximal subgroups in finite and profinite groups
• Classes of Finite Groups
• The probability of generating the symmetric group
• The expected number of random elements to generate a finite Abelian group

This page was built for publication: The number of maximal subgroups and probabilistic generation of‎ ‎finite groups