Geodesic
The Local Class Group of a Krull Domain
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 13-19

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The local class group of a Krull domain A is the quotient group G(A) = CI(A)/Pic(A). A Krull domain A is locally factorial if and only if G(A) = 0. In this paper, we characterize the Krull domains for which G(A) is a torsion group. We evaluate the local class group of several examples and finally, we explain why every abelian group is the local class group of a Krull domain.
DOI : 10.4153/CMB-1983-003-1
Mots-clés : 13F05, 13F15, 14J05, Krull domain, locally factorial, divisor class group, Picard group 
Bouvier, A. The Local Class Group of a Krull Domain. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 13-19. doi: 10.4153/CMB-1983-003-1
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