Displaying similar documents to “Abelian groups that are direct summands of every abelian group which contains them as pure subgroups”

On special p -groups

Renza Cortini (1998)

Bollettino dell'Unione Matematica Italiana

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In questo lavoro viene data una caratterizzazione di quei p -gruppi nilpotenti di classe due ed esponente p che sono speciali. Vengono inoltre studiate alcune costruzioni, automorfismi e sottogruppi abeliani di p -gruppi speciali.

Sylow P-Subgroups of Abelian Group Rings

Danchev, P. (2003)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: Primary 20C07, 20K10, 20K20, 20K21; Secondary 16U60, 16S34. Let PG be the abelian modular group ring of the abelian group G over the abelian ring P with 1 and prime char P = p. In the present article,the p-primary components Up(PG) and S(PG) of the groups of units U(PG) and V(PG) are classified for some major classes of abelian groups. Suppose K is a first kind field with respect to p in char K ≠ p and A is an abelian p-group. In the...