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Grothendieck groups of Abelian group rings. (English) Zbl 0467.16016


MSC:

16S34 Group rings
16E20 Grothendieck groups, \(K\)-theory, etc.
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
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References:

[1] Bass, H., The Grothendieck group of the category of abelian group automorphisms of finite order (1979), Columbia University, Preprint
[2] Grayson, D., \( SK_1\) of an interesting principal ideal domain, J. Pure Appl. Algebra, 20, 157-163 (1980), (this issue).
[3] Iwasawa, K., A note on class numbers of algebraic number fields, Abh. Math. Sem. Univ. Hamburg, 20, 257-258 (1956) · Zbl 0074.03002
[4] Lang, S., Algebraic Number Theory (1970), Addison-Wesley: Addison-Wesley Reading, MA · Zbl 0211.38404
[5] Masley, J. M.; Montgomery, H. L., Cyclotomic fields with unique factorization, J. Reine Angew. Math., 286/287, 248-256 (1976) · Zbl 0335.12013
[6] Milnor, J., Introduction to Algebraic \(K\)-theory, (Ann. of Math. Studies (1971), Princeton Univ. Press: Princeton Univ. Press Princeton) · Zbl 0237.18005
[7] Reiner, I., Topics in integral representation theory, (Lecture Notes in Mathematics, 744 (1979), Springer-Verlag: Springer-Verlag Berlin), 1-143
[8] Swan, R. G., Induced representations and projective modules, Ann. of Math., 71, 552-578 (1960) · Zbl 0104.25102
[9] Yamamoto, Y., On unramified Galois extensions of quadratic number fields, Osaka J. Math., 7, 57-76 (1970) · Zbl 0222.12003
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