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On the Grothendieck Ring of an Abelian p-Group

Published online by Cambridge University Press:  22 January 2016

Tadao Obayashi
Tadao Obayashi*
Affiliation:
Tokyo University of Education
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The Grothendieck ring of a finite group has been studied by Swan ([5], [6]). At the end of [6] he determined completely the structure of the Grothendieck ring G(Z) of a cyclic p-group over the ring of rational integers Z.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966 , pp. 101 - 113
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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[3] Curtis, C. W. and Reiner, I.: Representation theory of finite groups and associative algebras, Int. Sci. Press, 1962.Google Scholar
[4] Rim, D. S.: On projective class groups, Trans. Amer. Math. Soc. 98 (1961), 459–467.Google Scholar
[5] Swan, R. G.: Induced representations and projective modules, Ann. Math. 71 (1960), 552–578.CrossRefGoogle Scholar
[6] Swan, R. G.: The Grothendieck ring of a finite group, Topology, vol. 2 (1963), 85–110.Google Scholar