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Transactions of the American Mathematical Society

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

 
 

 

Homology in varieties of groups. III


Author: C. R. Leedham-Green
Journal: Trans. Amer. Math. Soc. 162 (1971), 27-33
MSC: Primary 20.50; Secondary 18.00
DOI: https://doi.org/10.1090/S0002-9947-1971-0284510-2
Part I: Trans. Amer. Math. Soc. (1971), 1-14
Part II: Trans. Amer. Math. Soc. (1971), 15-25
MathSciNet review: 0284510
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Abstract: A spectral sequence is used to calculate approximately the homology groups $ {\mathfrak{B}_2}(\Pi ,Z)$ as defined in the first paper in this series, for $ \Pi $ a finitely generated abelian group and $ \mathfrak{B}$ the variety of all nilpotent groups of class at most c.


References [Enhancements On Off] (What's this?)

  • [25] C. R. Leedham-Green, Homology in varieties of groups. II, Trans. Amer. Math. Soc. 162 (1971), 15-25. MR 0284510 (44:1735)
  • [26] B. Mitchell, Theory of categories, Pure and Appl. Math., vol. 17, Academic Press, New York, 1965. MR 34 #2647. MR 0202787 (34:2647)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1971-0284510-2
Keywords: Homology in varieties of groups
Article copyright: © Copyright 1971 American Mathematical Society

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