Invariable generation with elements of coprime prime-power orders.

DOI10.1016/j.jalgebra.2014.10.037zbMath1309.20067arXiv1409.0997OpenAlexW2963351346MaRDI QIDQ479775

Eloisa Detomi, Andrea Lucchini

Publication date: 5 December 2014

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

Full work available at URL: https://arxiv.org/abs/1409.0997

zbMATH Keywords

finite solvable groupscomplemented chief factorsinvariably generated groupsinvariant generationsprime-power coprimely invariably generated groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05) Probabilistic methods in group theory (20P05)

Related Items (8)

Invariable generation of prosoluble groups. ⋮ Invariable generation of iterated wreath products of cyclic groups ⋮ Divisibility of binomial coefficients and generation of alternating groups ⋮ Invariable generation does not pass to finite index subgroups ⋮ The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina ⋮ Minimal invariable generating sets ⋮ CONNECTED COMPONENTS IN THE INVARIABLY GENERATING GRAPH OF A FINITE GROUP ⋮ On invariable generation of alternating groups by elements of prime and prime power order

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