| 1. | Is the group, the multiplicative group of the complex numbers.
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| 2. | One can either focus on the whole multiplicative group or on the subgroup.
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| 3. | The Galois group is naturally isomorphic to the multiplicative group
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| 4. | More generally, every finite subgroup of the multiplicative group of any field is cyclic.
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| 5. | Dowling lattice of the multiplicative group of a finite field " F ".
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| 6. | The modular function is a continuous group homomorphism into the multiplicative group of positive real numbers.
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| 7. | In this case, the multiplicative group of integers modulo form a cyclic group of order.
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| 8. | Let K _ m be its multiplicative group and let K _ a be its additive group.
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| 9. | In fact, the multiplicative group of the non-residues and 1 form the Klein four-group.
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| 10. | It follows that the period is at most the order of N in the multiplicative group of units modulo q.
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