May 30, 2024Open Access

Quotients of permutation groups by nonabelian minimal normal subgroups

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Resumen

We prove that a quotient G/N of a subgroup G of Sym (n) by a nonabelian minimal normal subgroup N of G embeds into Sym (m) for some m<n. Furthermore, if G is transitive then we can take m 2n/5.

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Cite This Study

Derek Holt (Thu,) studied this question.

synapsesocial.com/papers/68e67bb1b6db64358760600f https://doi.org/https://doi.org/10.48550/arxiv.2405.19940

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1The Minimal Faithful Permutation Degree of Groups without Abelian Normal Subgroups2024 · 2 citations
2Derangements in intransitive groups2024
3On the base size and minimal degree of transitive groups2026
4Normalizer Quotients of Symmetric Groups and Inner Holomorphs2024
5To Study on Number of Subgroups of Finite Abelian Group Zm ⊗ Zn2024

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