On the nilpotent probability and supersolvability of finite groups

DOI10.1007/s00605-020-01485-6zbMath1498.20041OpenAlexW3103733028MaRDI QIDQ2225673

Huilong Gu, Jiao Li, Li-Ying Yang, Hua Quan Wei

Publication date: 10 February 2021

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-020-01485-6

zbMATH Keywords

finite groupcommuting probabilitysupersolvable group\(\mathcal{N}\)-groupnilpotent probability

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Probabilistic methods in group theory (20P05)

Cites Work

• Unnamed Item
• Character theory of finite groups
• On the commuting probability in finite groups.
• The Probability of Generating a Finite Soluble Group
• ON THE PROBABILITY OF GENERATING NILPOTENT SUBGROUPS IN A FINITE GROUP
• The probability of generating a nilpotent subgroup of a finite group
• What is the Probability that Two Group Elements Commute?
• Some Supersolvability Conditions for Finite Groups
• Endliche Gruppen I
• On some problems of a statistical group-theory. IV

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