On the Picard group of the integer group ring of the cyclic \(p\)-group and certain Galois groups

DOI10.1006/jnth.1998.2254zbMath1015.11052OpenAlexW2003871223MaRDI QIDQ1273197

Alexander Stolin

Publication date: 5 August 2003

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1998.2254

zbMATH Keywords

Picard groupcyclic \(p\)-groups

Mathematics Subject Classification ID

Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Class numbers, class groups, discriminants (11R29) (K_0) of group rings and orders (19A31) Class groups (13C20)

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Cites Work

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• Number theory II: Algebraic number theory. Transl. from the Russian
• On the projective class group of cyclic groups of prime power order
• Fine structure of class groups of cyclic p-groups
• Class Groups of Cyclotomic Fields and Group Rings
• An Explicit Formula for the Picard Group of the Cyclic Group of Order p 2

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