A-Solvability and Mixed Abelian Groups |
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| Authors: | Ulrich Albrecht Simion Breaz William Wickless |
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| Institution: | 1. Department of Mathematics , Auburn University , Auburn, Alabama, USA albreuf@mail.auburn.edu;3. Faculty of Mathematics and Computer Science , “Babe?-Bolyai” University , Cluj-Napoca, Romania;4. Department of Mathematics , University of Connecticut , Storrs, Connecticut, USA |
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| Abstract: | An abelian group A is an S-group (S +-group) if every subgroup B ≤ A of finite index is A-generated (A-solvable). This article discusses some of the differences between torsion-free S-groups and mixed S-groups, and studies (mixed) S- and S +-groups, which are self-small and have finite torsion-free rank. |
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| Keywords: | Abelian groups A-solvable groups Endomorphism rings |
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