Lenstra, H. W. jun. Grothendieck groups of Abelian group rings. (English) Zbl 0467.16016 J. Pure Appl. Algebra 20, 173-193 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 8 ReviewsCited in 23 Documents MSC: 16S34 Group rings 16E20 Grothendieck groups, \(K\)-theory, etc. 20C05 Group rings of finite groups and their modules (group-theoretic aspects) Keywords:Grothendieck group; group ring of a finite abelian group PDFBibTeX XMLCite \textit{H. W. Lenstra jun.}, J. Pure Appl. Algebra 20, 173--193 (1981; Zbl 0467.16016) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.