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Artinian, almost
abelian groups and their groups of automorphisms
Annemarie Schlette |
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Vol. 29 (1969), No. 2, 403–425
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Abstract |
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The principal results of this paper are several characterizations of the class of artinian almost abelian groups. Several corollaries of the main characterization are given, one of which states that a torsion group G which has a finite group of automorphisms is finite, and an abelian torsion group which has a countable automorphism group is finite. In a concluding section, the class of artinian almost abelian groups and the class of finite groups are characterized by formal group-theoretical properties. |
Mathematical Subject Classification
Primary: 20.56
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Milestones
Received: 12 June 1968
Published: 1 May 1969
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Authors |
| Annemarie Schlette | |
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