PROBABILISTIC GENERATION OF WREATH PRODUCTS OF NON-ABELIAN FINITE SIMPLE GROUPS, II

DOI10.1142/S0218196706003074zbMath1103.20066OpenAlexW2067889523MaRDI QIDQ5483451

Martyn Quick

Publication date: 14 August 2006

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196706003074

zbMATH Keywords

finite groupssimple groupsrandom elementsprofinite groupsiterated wreath productsprobabilitiesrandom generatorspositively finitely generated groups

Mathematics Subject Classification ID

Maximal subgroups (20E28) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Limits, profinite groups (20E18) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items (11)

Closed normal subgroups of free pro-S-groups of finite rank ⋮ Free subgroups of inverse limits of iterated wreath products of non-abelian finite simple groups in primitive actions ⋮ Maximal Complements in Finite Groups ⋮ Finite generation of iterated wreath products. ⋮ Maximal complements in wreath products. ⋮ Random generation of finite and profinite groups and group enumeration. ⋮ A finitely generated just-infinite profinite branch group which is not positively finitely generated. ⋮ Finite generation of iterated wreath products in product action. ⋮ Embedding properties of hereditarily just infinite profinite wreath products ⋮ Probabilistic finiteness properties for profinite groups ⋮ Characterization of finitely generated infinitely iterated wreath products

Cites Work

• The probability of generating certain profinite groups by two elements
• Maximal complements in wreath products.
• The probability of generating a finite simple group
• Probabilistic Generation of Wreath Products of Non-abelian Finite Simple Groups
• The probability of generating the symmetric group

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