Homology in varieties of groups. I
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- by C. R. Leedham-Green PDF
- Trans. Amer. Math. Soc. 162 (1971), 1-14 Request permission
Abstract:
Well-known techniques allow one to construct a (co-) homology theory relative to a variety. After two paragraphs which discuss the modules to be considered and the construction of the (co-) homology groups, we come to our main homological result, namely that the theory is not always equivalent to a Tor or Ext. In the fourth paragraph we prove our main group-theoretic result; two covering groups of a finite group generate the same variety “up to exponent". Finally we produce a restricted version of the Künneth formula.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 162 (1971), 1-14
- MSC: Primary 20.50; Secondary 18.00
- DOI: https://doi.org/10.1090/S0002-9947-1971-99930-9
- MathSciNet review: 0284510