A nonsimplicity criterion for groups.

DOI10.1007/S10469-013-9211-3zbMath1280.20034OpenAlexW2006915684MaRDI QIDQ354476

Mohammad Hasan, M. Dambrine

Publication date: 19 July 2013

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-013-9211-3

zbMATH Keywords

infinite groupselements of finite orderFrobenius subgroupsnonsimplicity criteria

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) General structure theorems for groups (20E34) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (1)

On groups with a Frobenius element

Cites Work

• A characterization of certain Frobenius groups
• A nonsimplicity criterion for groups
• Groups with Frobenius pairs of conjugate elements
• Infinite groups saturated by Frobenius subgroups
• Groups with finitely imbedded involution
• On groups with certain systems of \(F\)-subgroups
• Frobeniusautomorphismen endlicher Gruppen
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