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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The Schur multiplier of a nilpotent group
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by Ursula Martin Webb
Trans. Amer. Math. Soc. 291 (1985), 755-763
DOI: https://doi.org/10.1090/S0002-9947-1985-0800261-7

Abstract:

In this paper we obtain upper and lower bounds for the rank of the Schur multiplier of a nilpotent group in terms of the nilpotency class and the number of generators and rank of the derived quotient.
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Bibliographic Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 291 (1985), 755-763
  • MSC: Primary 20J05; Secondary 20F18
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0800261-7
  • MathSciNet review: 800261