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Corresponding Group and Module Sequences1)

Published online by Cambridge University Press:  22 January 2016

R. H. Crowell
R. H. Crowell*
Affiliation:
Dartmouth College
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For convenience we consider throughout an arbitrary but fixed multiplicative group H. The integral group ring of H is denoted by ZH, and the homomorphism ε: ZH→Z is always the trivializer, or unit augmentation, defined by εh = 1 for all h ∈ H.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 19 , October 1961 , pp. 27 - 40
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1961

Footnotes

1)

This work was supported by a grant (G-8931) from the National Science Foundation.

References

[1] Blanchfìeld, R. C., Applications of free differential calculus to the theory of groups, Senior thesis, Princeton University, 1949.Google Scholar
[2] Cartan, H., and Eilenberg, S., Homological Algebra, Princeton University Press, 1956.Google Scholar
[3] Eilenberg, S., and MacLane, S., Cohomology theory in abstract groups, Ann. of Math., Vol. 48 (1947), pp. 51–78.Google Scholar
[4] Fox, R. H., Free differential calculus I, Ann. of Math., Vol. 57 (1954), pp. 547–560.Google Scholar
[5] Fox, R. H., Free differential calculus II, Ann. of Math., Vol. 59 (1954), pp. 196–210.Google Scholar
[6] Lyndon, R. C., Cohomology groups with a single defining relation, Ann. of Math., Vol. 52 (1950), pp. 650–665.Google Scholar
[7] Massey, W. S., Some problems in algebraic topology and the theory of fibre bundles, Ann. of Math., Vol. 62 (1955), pp. 327–357.Google Scholar
[8] Trotter, H. F., Homology of group systems with applications to knot theory, forthcoming.Google Scholar