On the primary coverings of finite solvable and symmetric groups

DOI10.1515/jgth-2020-0056zbMath1495.20030arXiv2001.02035OpenAlexW3174740812MaRDI QIDQ2240143

Francesco Fumagalli, Martino Garonzi

Publication date: 8 November 2021

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02035

zbMATH Keywords

coveringsymmetric groupssolvable groupselements of prime power orderprimary covering

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Symmetric groups (20B30)

Uses Software

• GAP
• Gurobi

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the covering number of small symmetric groups and some sporadic simple groups.
• Die Eulersche Funktion endlicher auflösbarer Gruppen
• On the covering number of \(S_{14}\)
• Covering the symmetric groups with proper subgroups.
• On the orders of primitive groups
• On the indices of maximal subgroups and the normal primary coverings of finite groups
• On the covering number of symmetric groups having degree divisible by six.
• Groups as the union of proper subgroups.
• Cyclic regular subgroups of primitive permutation groups
• On $n$-Sum Groups.
• Endliche Gruppen I

This page was built for publication: On the primary coverings of finite solvable and symmetric groups