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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Center-by-metabelian groups of prime exponent


Author: Jay I. Miller
Journal: Trans. Amer. Math. Soc. 249 (1979), 217-224
MSC: Primary 20E15; Secondary 20F50
DOI: https://doi.org/10.1090/S0002-9947-1979-0526319-5
MathSciNet review: 526319
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1979-0526319-5
Keywords: Basic, basis, center-by-metabelian, Engel law, law, regular, relatively free, variety
Article copyright: © Copyright 1979 American Mathematical Society