Demuškin groups of rank $\aleph _0$

J.P. Labute

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Some generalizations of torsion-free Crawley groups

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In this paper we investigate two new classes of torsion-free Abelian groups which arise in a natural way from the notion of a torsion-free Crawley group. A group $G$ is said to be an Erdős group if for any pair of isomorphic pure subgroups $H, K$ with $G / H ≅ G / K$ , there is an automorphism of $G$ mapping $H$ onto $K$ ; it is said to be a weak Crawley group if for any pair $H, K$ of isomorphic dense maximal pure subgroups, there is an automorphism mapping $H$ onto $K$ . We show that these classes are extensive and pay...

$p$ -divisible groups with complex multiplication over $W (k)$

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Displaying similar documents to “Demuškin groups of rank ℵ 0 ”

Displaying similar documents to “Demuškin groups of rank $ℵ_{0}$ ”