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- W4238918114 abstract "Meier-Wunderli has shown that every metabelian group of exponent p is nilpotent. Here we show that the subgroup generated by p k-1 th powers of elements in a metabelian group of exponent p k is nilpotent. We also obtain some information on the subgroup generated by p k-2 th powers. Finally we obtain a bound for the nilpotency class of n -generator metabelian groups of exponent p k ." @default.
- W4238918114 created "2022-05-12" @default.
- W4238918114 date "1968-01-02" @default.
- W4238918114 modified "2023-10-18" @default.
- W4238918114 title "On metabelian groups of prime-power exponent" @default.
- W4238918114 doi "https://doi.org/10.1098/rspa.1968.0006" @default.
- W4238918114 hasPublicationYear "1968" @default.
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