ON THE PROBABILITY OF GENERATING NILPOTENT SUBGROUPS IN A FINITE GROUP

DOI10.1017/S0004972715001252zbMath1342.20067MaRDI QIDQ2814344

H. Madadi, H. Rostami, Seyyed Majid Jafarian Amiri

Publication date: 21 June 2016

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsnilpotent groupsrandom elementsprobabilities\(N\)-groups

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) Generators, relations, and presentations of groups (20F05) Combinatorial probability (60C05) Finite nilpotent groups, (p)-groups (20D15) Probabilistic methods in group theory (20P05)

Related Items

Unnamed Item ⋮ On the nilpotent probability and supersolvability of finite groups

Cites Work

• On the commuting probability in finite groups.
• The Probability of Generating a Finite Soluble Group
• Non-Nilpotent Graph of a Group
• What is the Probability that Two Group Elements Commute?
• Semisimple groups with the rewriting property Q₅
• Nonsolvable finite groups all of whose local subgroups are solvable
• On some problems of a statistical group-theory. IV