On a theorem of Deskins
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- by Irene Zimmermann PDF
- Proc. Amer. Math. Soc. 107 (1989), 895-899 Request permission
Abstract:
In this note we present a solvability criterion for finite groups. We show that a finite group $G$ is solvable if in every maximal subgroup chain of length 3 of $G$ at least one term is a submodular subgroup of $G$. This generalizes an earlier result of Deskins.References
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- Irene Zimmermann, Submodular subgroups in finite groups, Math. Z. 202 (1989), no. 4, 545–557. MR 1022820, DOI 10.1007/BF01221589
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 895-899
- MSC: Primary 20D10; Secondary 20D30
- DOI: https://doi.org/10.1090/S0002-9939-1989-0986654-5
- MathSciNet review: 986654