Hostname: page-component-586b7cd67f-t7czq Total loading time: 0 Render date: 2024-11-28T20:52:18.344Z Has data issue: false hasContentIssue false

A Class Of Abelian Groups

Published online by Cambridge University Press:  20 November 2018

W. T. Tutte*
Affiliation:
University of Toronto
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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 aM 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
Copyright
Copyright © Canadian Mathematical Society 1956

References

1. Hall, P., On representation of subsets, J. London Math. Soc, 10 (1934), 2630.Google Scholar
2. Rado, R., Factorization of even graphs, Quart. J. Math., 20 (1949), 95104.Google Scholar
3. Tutte, W. T., On the imbedding of linear graphs in surfaces, Proc. London Math. Soc. (2), 51 (1949), 474483.Google Scholar
4. Tutte, W. T., A contribution to the theory of chromatic polynomials, Canadian J. Math., 6 (1953), 8091.Google Scholar