On Lagrangian groups
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- by J. F. Humphreys and D. L. Johnson PDF
- Trans. Amer. Math. Soc. 180 (1973), 291-300 Request permission
Abstract:
We study the class $\mathcal {L}$ of Lagrangian groups, that is, of finite groups $G$ possessing a subgroup of index $n$ for each factor $n$ of $|G|$. These groups and their analogues were considered by McLain in [4] and the object of the present work is to extend the results in this article. We study the classes $(G) = \{ H|G \times H \in \mathcal {L}\}$ and also the closure of $\mathcal {L}$ under wreath products. We also consider the two classes $\mathfrak {X}$ and $\mathfrak {Y}$ introduced in [2] and [4] respectively.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 180 (1973), 291-300
- MSC: Primary 20D99
- DOI: https://doi.org/10.1090/S0002-9947-1973-0318312-7
- MathSciNet review: 0318312