| 1. | This is true since if the group is abelian, then.
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| 2. | The new combinatorial topology formally treated topological classes as abelian groups.
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| 3. | A cyclotomic extension, under either definition, is always abelian.
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| 4. | Abelian varieties appear naturally as Albanese varieties of other algebraic varieties.
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| 5. | The theorem also holds more generally in locally compact abelian groups.
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| 6. | Parity forms the abelian group Z 2 due to the relation.
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| 7. | This thesis set the road for his contributions on abelian groups.
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| 8. | The group is non-abelian since, for example,.
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| 9. | Notably Hilbertianity is preserved under finite separable extensions and abelian extensions.
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| 10. | However, associativity and being an abelian group are universal properties.
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