 | 1 | initial version |
Hi,
I want to create the multiplicative group (Z/7Z)*={1,2,3,4,5,6} so I did these steps:
sage: n=7
sage: Zn=Zmod(n)
sage: G=Zn.unit_group()
sage: list(G)
[1, f, f^2, f^3, f^4, f^5]
sage: Zn(f)
3
Then I want to create the subgroups generate by 2=f^2 which is {1,2,4} So I did the following steps:
sage: H=G.subgroup([f^2])
sage: list(H)
[1, f, f^2]
my problem is when I did
sage: Zn(f)
It returns
3
But here f need to be 2 ? How can I solve this ? replaces f by value?
Hi,
I want to create the multiplicative group (Z/7Z)*={1,2,3,4,5,6} $(\mathbb{Z}/7\mathbb{Z})^*={1,2,3,4,5,6}$ so I did these steps:
Then I want to create the subgroups generate generated by 2=f^2 $2=f^2$ which is {1,2,4}
${1,2,4}$
So I did the following steps:
my problem is when I did
did
sage: Zn(f)
It returns
3But here f need needs to be 2 ? 2. How can I solve this ? replaces f this? Replace f by value?
Hi,
I want to create the multiplicative group $(\mathbb{Z}/7\mathbb{Z})^*={1,2,3,4,5,6}$ $(\mathbb{Z}/7\mathbb{Z})^*=\{1,2,3,4,5,6\}$ so I did these steps:
sage: n = 7
sage: Zn = Zmod(n)
sage: G = Zn.unit_group()
sage: list(G)
[1, f, f^2, f^3, f^4, f^5]
sage: Zn(f)
3
Then I want to create the subgroups generated by $2=f^2$ which is ${1,2,4}$ So I did the following steps:
sage: H = G.subgroup([f^2])
sage: list(H)
[1, f, f^2]
my problem is when I did
sage: Zn(f)
3
But here f needs to be 2. How can I solve this? Replace f by value?
Hi,
I want to create the multiplicative group $(\mathbb{Z}/7\mathbb{Z})^*=\{1,2,3,4,5,6\}$ so I did these steps:
sage: n = 7
7
sage: Zn = Zmod(n)
Zmod(n)
sage: G = Zn.unit_group()
sage: list(G)
Zn.unit_group()
sage: list(G)
[1, f, f^2, f^3, f^4, f^5]
sage: Zn(f)
3
Then I want to create the subgroups generated by $2=f^2$ which is ${1,2,4}$ So I did the following steps:
sage: H = G.subgroup([f^2])
sage: list(H)
[1, f, f^2]
my My problem is when I did
sage: Zn(f)
3
But here f f needs to be 2. How can I solve this? Replace f by value?
Hi,
I want to create the multiplicative group $(\mathbb{Z}/7\mathbb{Z})^*=\{1,2,3,4,5,6\}$ so I did these steps:
sage: n = 7
sage: Zn = Zmod(n)
sage: G = Zn.unit_group()
sage: list(G)
[1, f, f^2, f^3, f^4, f^5]
Then I want to create the subgroups generated by $2=f^2$ which is ${1,2,4}$
$\{1,2,4\}$
So I did the following steps:
sage: H = G.subgroup([f^2])
sage: list(H)
[1, f, f^2]
My problem is when I did
sage: Zn(f)
3
But here f needs to be 2. How can I solve this? Replace f by value?
Hi,
I want to create the multiplicative group $(\mathbb{Z}/7\mathbb{Z})^*=\{1,2,3,4,5,6\}$ so $(\mathbb{Z}/7\mathbb{Z})^*=\{1,2,3,4,5,6\}$.
I did these steps:
sage: n = 7
sage: Zn = Zmod(n)
sage: G = Zn.unit_group()
sage: list(G)
[1, f, f^2, f^3, f^4, f^5]
Then I want to create the subgroups generated by $2=f^2$ which is $\{1,2,4\}$
So $\{1,2,4\}$.
I did the following steps:
sage: f = G.gen()
sage: H = G.subgroup([f^2])
G.subgroup([f^2])
sage: list(H)
list(H)
[1, f, f^2]
My problem is when I did
sage: Zn(f)
Zn(f)
3
But here f needs to be 2. How can I solve this? Replace f by value?
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