| 11. | The number of independent generators is the rank of an abelian group.
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| 12. | For abelian groups, left cosets and right cosets are always the same.
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| 13. | This thesis set the road for his contributions on abelian groups.
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| 14. | Important technical tools used in classification of infinite abelian groups are basic subgroups.
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| 15. | This is a key step in the classification of finitely generated abelian groups.
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| 16. | Consider the category " D " of homomorphisms of abelian groups.
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| 17. | The quaternion group is the smallest example of nilpotent non-abelian group.
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| 18. | This construction makes simplicial homology a functor from simplicial complexes to abelian groups.
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| 19. | Let and be the complex Abelian groups formed by the symmetries and respectively.
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| 20. | By contrast, classification of general infinitely generated abelian groups is far from complete.
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