Normal subgroups of groups which are products of two Abelian subgroups
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- by Larry E. Knop PDF
- Proc. Amer. Math. Soc. 40 (1973), 37-41 Request permission
Abstract:
It is shown that if a group $G = AB$, where $A$ and $B$ are Abelian subgroups of $G,A \ne B$, and either $A$ or $B$ satisfies the maximum condition, then there is a normal subgroup $N$ of $G$, $N \ne G$, such that $N$ contains either $A$ or $B$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 37-41
- MSC: Primary 20F25
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320163-X
- MathSciNet review: 0320163