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The class group of a cyclic p-group

✍ Scribed by Steven Galovich

Publisher: Elsevier Science
Year: 1977
Tongue: English
Weight: 94 KB
Volume: 47
Category: Article
ISSN: 0021-8693
DOI: 10.1016/0021-8693(77)90240-x

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Partially supported by the research funds of Ministero dell'Uni¨ersita e della Ricerca Scientifica e Tecnologica and by Grant 9300856.CT01 of Consiglio Nazionale delle Ricerche.

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In the present paper we deal with the canonical projection Pic Z Here p is any odd prime number, `pk k =1 and C n is the cyclic group of order p n . I proved in (Stolin, 1997), that the canonical projection Pic Z[`n] Ä Cl Z[`n] can be split. If p is a properly irregular, not regular prime number, t