Invariable generation of prosoluble groups.

DOI10.1007/s11856-015-1280-7zbMath1345.20039arXiv1410.5271OpenAlexW1480741915MaRDI QIDQ273113

Eloisa Detomi, Andrea Lucchini

Publication date: 21 April 2016

Published in: Archiv der Mathematik, Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.5271

zbMATH Keywords

primitive permutation groupsfinite permutation groupsfinite soluble groupsgenerating setsnumbers of generatorsprofinite groupsinvariably generated groupsprosoluble groupsprosupersoluble groupsinvariable generation

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) 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) Residual properties and generalizations; residually finite groups (20E26) Primitive groups (20B15) Limits, profinite groups (20E18) General theory for finite permutation groups (20B05)

Related Items (8)

Invariable generation of prosoluble groups. ⋮ Invariable generation of iterated wreath products of cyclic groups ⋮ Invariable generation and the Houghton groups ⋮ Invariable generation and wreath products ⋮ Invariable generation of permutation and linear groups ⋮ Bounds for finite semiprimitive permutation groups: order, base size, and minimal degree ⋮ Minimal invariable generating sets ⋮ On invariable generation of alternating groups by elements of prime and prime power order

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