The power structure of metabelian $p$-groups
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- by Norman Blackburn and Alberto Espuelas
- Proc. Amer. Math. Soc. 92 (1984), 478-484
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760929-2
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Abstract:
In a metabelian $p$-group in which the $p$th powers generate a subgroup of order $p$, the elements of order $p$ generate a subgroup of index at most ${p^p}$. This is best possible.References
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Bibliographic Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 478-484
- MSC: Primary 20D15
- DOI: https://doi.org/10.1090/S0002-9939-1984-0760929-2
- MathSciNet review: 760929