A classification of the prime graphs of pseudo-solvable groups

DOI10.1515/jgth-2023-0018arXiv2211.15818OpenAlexW4384666740MaRDI QIDQ6146260

Yong Yang, Shane Kissinger, Thomas Michael Keller, Ziyu Huang, Wen Plotnick, Maya Roma

Publication date: 10 January 2024

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

Full work available at URL: https://arxiv.org/abs/2211.15818

zbMATH Keywords

finite groupsprime graphssets of elements orders

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) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Cites Work

• A characterization of the prime graphs of solvable groups.
• Prime graph components of finite groups
• Solvable groups with a small number of prime divisors in the element orders
• On Brauer's \(k(B)\)-problem
• The prime graphs of some classes of finite groups
• Groups Having Strongly Self-Centralizing 3-Centralizers
• The classification of the finite simple groups
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