On the probability of generating finite groups with a unique minimal normal subgroup.

DOI10.2140/pjm.2002.203.429zbMath1064.20072OpenAlexW2166093788MaRDI QIDQ701232

Andrea Lucchini, Fiorenza Morini

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.203.429

zbMATH Keywords

finite groupsgenerating setsrandom choices

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Probabilistic methods in group theory (20P05)

Related Items (8)

Prefrattini subgroups and crowns ⋮ Recognizing the prime divisors of the index of a proper subgroup. ⋮ The generating graph of some monolithic groups. ⋮ GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS ⋮ Complements of the socle in monolithic groups. ⋮ Complements of the socle in almost simple groups. ⋮ Groups satisfying a strong complement property ⋮ Characterization of finitely generated infinitely iterated wreath products

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