Abelian groups with many automorphisms

Jutta Hausen; Johnny A. Johnson

Displaying similar documents to “Abelian groups with many automorphisms”

On inert subgroups of a group

Derek J. S. Robinson (2006)

Rendiconti del Seminario Matematico della Università di Padova

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Abelian torsion groups with artinian primary components and their automorphisms

Jutta Hausen (1971)

Fundamenta Mathematicae

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Groups with finite automorphism classes of subgroups

John Lennox, Federico Menegazzo, Howard Smith, James Wiegold (1988)

Rendiconti del Seminario Matematico della Università di Padova

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Endoprimal abelian groups of torsion-free rank 1

K. Kaarli, L. Márki (2004)

Rendiconti del Seminario Matematico della Università di Padova

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Some generalizations of torsion-free Crawley groups

Brendan Goldsmith, Fatemeh Karimi, Ahad Mehdizadeh Aghdam (2013)

Czechoslovak Mathematical Journal

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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...

Groups with boundedly finite automorphism classes

Derek J. S. Robinson, James Wiegold (1984)

Rendiconti del Seminario Matematico della Università di Padova

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The automorphism groups and endomorphism rings of torsion-free abelian groups of rank two

M. Król

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CONTENTS§ 1. Introduction.......................................................................................................................................... 5§ 2. Definitions and lemmas................................................................................................................... 7§ 3. Theorem on the isomorphism of subdirect sums with the same kernels............................. 15§ 4. The group of automorphisms of a torsion-free abelian group of rank two................................