What are the elements in the subgroup generated by $langle(1234)rangle$ in $S_4$? [closed]
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What are the elements in the subgroup generated by $langle(1234)rangle$ in $S_4$?
abstract-algebra symmetric-groups
asked Jan 9 at 3:30
HarmanHarman
122
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closed as off-topic by zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo Jan 9 at 10:19
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$begingroup$
What are the elements in the subgroup generated by $langle(1234)rangle$ in $S_4$?
abstract-algebra symmetric-groups
asked Jan 9 at 3:30
HarmanHarman
122
$endgroup$
closed as off-topic by zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo Jan 9 at 10:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
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$langle(1234)rangle$ is a subgroup of $S_4$; it is the subgroup generated by the element $(1234)$. Therefore, the subgroup generated by $langle(1234)rangle$ is just $langle(1234)rangle$ itself.
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– bof
Jan 9 at 3:55
add a comment |
$begingroup$
What are the elements in the subgroup generated by $langle(1234)rangle$ in $S_4$?
abstract-algebra symmetric-groups
asked Jan 9 at 3:30
HarmanHarman
122
$endgroup$
What are the elements in the subgroup generated by $langle(1234)rangle$ in $S_4$?
abstract-algebra symmetric-groups
abstract-algebra symmetric-groups
asked Jan 9 at 3:30
HarmanHarman
122
asked Jan 9 at 3:30
HarmanHarman
122
edited Jan 9 at 3:49
Harman
asked Jan 9 at 3:30
HarmanHarman
122
asked Jan 9 at 3:30
HarmanHarman
122
asked Jan 9 at 3:30
HarmanHarman
122
122
closed as off-topic by zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo Jan 9 at 10:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
closed as off-topic by zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo Jan 9 at 10:19
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – zipirovich, Lord Shark the Unknown, KReiser, José Carlos Santos, Cesareo
If this question can be reworded to fit the rules in the help center, please edit the question.
$begingroup$
$langle(1234)rangle$ is a subgroup of $S_4$; it is the subgroup generated by the element $(1234)$. Therefore, the subgroup generated by $langle(1234)rangle$ is just $langle(1234)rangle$ itself.
$endgroup$
– bof
Jan 9 at 3:55
add a comment |
$begingroup$
$langle(1234)rangle$ is a subgroup of $S_4$; it is the subgroup generated by the element $(1234)$. Therefore, the subgroup generated by $langle(1234)rangle$ is just $langle(1234)rangle$ itself.
$endgroup$
– bof
Jan 9 at 3:55
$begingroup$
$langle(1234)rangle$ is a subgroup of $S_4$; it is the subgroup generated by the element $(1234)$. Therefore, the subgroup generated by $langle(1234)rangle$ is just $langle(1234)rangle$ itself.
$endgroup$
– bof
Jan 9 at 3:55
$begingroup$
$langle(1234)rangle$ is a subgroup of $S_4$; it is the subgroup generated by the element $(1234)$. Therefore, the subgroup generated by $langle(1234)rangle$ is just $langle(1234)rangle$ itself.
$endgroup$
– bof
Jan 9 at 3:55
add a comment |
1 Answer
1
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Consider the element $(1234)$. It has order $4$, hence $<(1234)>$ has 4 elements : the identity, $(1234)$, $(1234)^2=(13)(24)$, $(1234)^3=(1432)$.
answered Jan 9 at 3:47
mich95mich95
6,88011126
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Consider the element $(1234)$. It has order $4$, hence $<(1234)>$ has 4 elements : the identity, $(1234)$, $(1234)^2=(13)(24)$, $(1234)^3=(1432)$.
answered Jan 9 at 3:47
mich95mich95
6,88011126
$endgroup$
add a comment |
$begingroup$
Consider the element $(1234)$. It has order $4$, hence $<(1234)>$ has 4 elements : the identity, $(1234)$, $(1234)^2=(13)(24)$, $(1234)^3=(1432)$.
answered Jan 9 at 3:47
mich95mich95
6,88011126
$endgroup$
add a comment |
$begingroup$
Consider the element $(1234)$. It has order $4$, hence $<(1234)>$ has 4 elements : the identity, $(1234)$, $(1234)^2=(13)(24)$, $(1234)^3=(1432)$.
answered Jan 9 at 3:47
mich95mich95
6,88011126
$endgroup$
Consider the element $(1234)$. It has order $4$, hence $<(1234)>$ has 4 elements : the identity, $(1234)$, $(1234)^2=(13)(24)$, $(1234)^3=(1432)$.
answered Jan 9 at 3:47
mich95mich95
6,88011126
answered Jan 9 at 3:47
mich95mich95
6,88011126
answered Jan 9 at 3:47
mich95mich95
6,88011126
answered Jan 9 at 3:47
mich95mich95
6,88011126
6,88011126
add a comment |
add a comment |
$begingroup$
$langle(1234)rangle$ is a subgroup of $S_4$; it is the subgroup generated by the element $(1234)$. Therefore, the subgroup generated by $langle(1234)rangle$ is just $langle(1234)rangle$ itself.
$endgroup$
– bof
Jan 9 at 3:55