Center-by-metabelian groups of prime exponent

Miller, Jay I.

doi:10.1090/S0002-9947-1979-0526319-5

Center-by-metabelian groups of prime exponent
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by Jay I. Miller

Trans. Amer. Math. Soc. 249 (1979), 217-224

DOI: https://doi.org/10.1090/S0002-9947-1979-0526319-5

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Abstract:

We show that a center-by-metabelian group of prime exponent p is nilpotent of class at most p, and this result is best possible. The proof is based on techniques dealing with varieties of groups.

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