How does the set of complex numbers (resp., nonzero complex numbers) form a group under addition (resp.,...
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How is a complex number a group under addition.
How is a complex number a group under multiplication(without zero)
group-theory
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
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How is a complex number a group under addition.
How is a complex number a group under multiplication(without zero)
group-theory
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
4
@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way.
– Arturo Magidin
Dec 5 '10 at 22:09
2
The title should be changed.
– Sean Tilson
Dec 5 '10 at 22:58
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
How is a complex number a group under addition.
How is a complex number a group under multiplication(without zero)
group-theory
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
How is a complex number a group under addition.
How is a complex number a group under multiplication(without zero)
group-theory
group-theory
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
edited Dec 6 '10 at 0:54
Jonas Meyer
39.9k6144254
39.9k6144254
asked Dec 5 '10 at 21:55
chisom chinwuko
4
@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way.
– Arturo Magidin
Dec 5 '10 at 22:09
2
The title should be changed.
– Sean Tilson
Dec 5 '10 at 22:58
add a comment |
4
@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way.
– Arturo Magidin
Dec 5 '10 at 22:09
2
The title should be changed.
– Sean Tilson
Dec 5 '10 at 22:58
4
4
@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way.
– Arturo Magidin
Dec 5 '10 at 22:09
@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way.
– Arturo Magidin
Dec 5 '10 at 22:09
2
2
The title should be changed.
– Sean Tilson
Dec 5 '10 at 22:58
The title should be changed.
– Sean Tilson
Dec 5 '10 at 22:58
add a comment |
1 Answer
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A complex number is not a group under addition. The set of all complex numbers is a group under addition. Just look at the definition of a group and see that you can verify the axioms. Similarly for the set of complex numbers without zero and multiplication.
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
5
down vote
A complex number is not a group under addition. The set of all complex numbers is a group under addition. Just look at the definition of a group and see that you can verify the axioms. Similarly for the set of complex numbers without zero and multiplication.
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
add a comment |
up vote
5
down vote
A complex number is not a group under addition. The set of all complex numbers is a group under addition. Just look at the definition of a group and see that you can verify the axioms. Similarly for the set of complex numbers without zero and multiplication.
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
add a comment |
up vote
5
down vote
up vote
5
down vote
A complex number is not a group under addition. The set of all complex numbers is a group under addition. Just look at the definition of a group and see that you can verify the axioms. Similarly for the set of complex numbers without zero and multiplication.
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
A complex number is not a group under addition. The set of all complex numbers is a group under addition. Just look at the definition of a group and see that you can verify the axioms. Similarly for the set of complex numbers without zero and multiplication.
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
answered Dec 5 '10 at 22:04
Ross Millikan
289k23195367
289k23195367
add a comment |
add a comment |
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@chisom chinwuko: Assuming, as Ross does, that you meant "the set of all complex numbers" and "the set of all complex numbers without zero", then the answer is: in the obvious way.
– Arturo Magidin
Dec 5 '10 at 22:09
2
The title should be changed.
– Sean Tilson
Dec 5 '10 at 22:58