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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Center-by-metabelian groups of prime exponent
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by Jay I. Miller PDF
Trans. Amer. Math. Soc. 249 (1979), 217-224 Request permission

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.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • 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