Probabilistic Generation of Wreath Products of Non-abelian Finite Simple Groups

DOI10.1081/AGB-200036751zbMath1077.20079MaRDI QIDQ4678714

Martyn Quick

Publication date: 23 May 2005

Published in: Communications in Algebra (Search for Journal in Brave)

zbMATH Keywords

random elementsiterated wreath productsprobabilitiesrandom generatorsregular permutation actions

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 (15)

Free subgroups of inverse limits of iterated wreath products of non-abelian finite simple groups in primitive actions ⋮ Maximal Complements in Finite Groups ⋮ The group of all finite-state automorphisms of a regular rooted tree has a minimal generating set. ⋮ Positively finitely related profinite groups ⋮ ON THE HEIGHT AND RELATIONAL COMPLEXITY OF A FINITE PERMUTATION GROUP ⋮ Finite generation of iterated wreath products. ⋮ On the automaton complexity of wreath powers of non-Abelian finite simple groups. ⋮ A diameter gap for quotients of the unit sphere ⋮ Doubly transitive lines. II: Almost simple symmetries ⋮ Maximal complements in wreath products. ⋮ On some universal construction of minimal topological generating sets for inverse limits of iterated wreath products of non-abelian finite simple groups ⋮ On finite groups whose Sylow subgroups have a bounded number of generators. ⋮ PROBABILISTIC GENERATION OF WREATH PRODUCTS OF NON-ABELIAN FINITE SIMPLE GROUPS, II ⋮ Characterization of finitely generated infinitely iterated wreath products ⋮ On the involution fixity of simple groups

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