On special $p$-groups

Renza Cortini

Displaying similar documents to “On special $p$ -groups”

Abelian groups that are direct summands of every abelian group which contains them as pure subgroups

J. Łoś (1957)

Fundamenta Mathematicae

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On finite abelian groups realizable as Mislin genera.

Peter Hilton, Dirk Scevenels (1997)

Publicacions Matemàtiques

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We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.