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A Class Of Abelian Groups

Published online by Cambridge University Press:  20 November 2018

W. T. Tutte
W. T. Tutte*
Affiliation:
University of Toronto
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1. Introduction. If M is any finite set we define a chain on M as a mapping f of M into the set of ordinary integers. If a ∈ M then f(a) is the coefficient of a in the chain f. The set of all a ∈ M such that f(a) ≠ 0 is the domain |f| of f. If |f| is null, that is if f(a) = 0 for all a, then f is the zero chain on M. If M is null it is convenient to say that there is just one chain, a zero chain, on M.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 8 , 1956 , pp. 13 - 28
Copyright
Copyright © Canadian Mathematical Society 1956

References

1. Hall, P., On representation of subsets, J. London Math. Soc, 10 (1934), 26–30.Google Scholar
2. Rado, R., Factorization of even graphs, Quart. J. Math., 20 (1949), 95–104.Google Scholar
3. Tutte, W. T., On the imbedding of linear graphs in surfaces, Proc. London Math. Soc. (2), 51 (1949), 474–483.Google Scholar
4. Tutte, W. T., A contribution to the theory of chromatic polynomials, Canadian J. Math., 6 (1953), 80–91.Google Scholar