Homology in varieties of groups. III

Leedham-Green, C. R.

doi:10.1090/S0002-9947-1971-0284510-2

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.

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

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Homology in varieties of groups. III
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by C. R. Leedham-Green PDF

Trans. Amer. Math. Soc. 162 (1971), 27-33 Request permission

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

C. R. Leedham-Green, Homology in varieties of groups. I, II, III, Trans. Amer. Math. Soc. 162 (1971), 1–14; ibid. 162 (1971), 15–25; 162 (1971), 27–33. MR 0284510, DOI 10.1090/S0002-9947-1971-0284510-2
Barry Mitchell, Theory of categories, Pure and Applied Mathematics, Vol. XVII, Academic Press, New York-London, 1965. MR 0202787