prove at least √n elements have the same stabilizer size [on hold]$g$$H_x$$g^-1$=$H_y$, the orbits of action H on X have the same size?Size of Dihedral Group with Orbit-StabilizerIs the following scenario possible for stabilizerProve the size of a finite group G divided by the size of the centralizer of a normal subgroup divides the size of that subgroup minus 1 factorialProving an Stabilizer is the whole group.Prove that if there is some orbit with exactly one element, then there are at least two orbits with exactly one element.Computing the stabilizer of a setProve the size of the conjugacy class of $x$ is equal to the index of $C(x)$ in $G$.Which finite group is the stabilizer of this 4-variable cubic polynomial?
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prove at least √n elements have the same stabilizer size [on hold]
$g$$H_x$$g^-1$=$H_y$, the orbits of action H on X have the same size?Size of Dihedral Group with Orbit-StabilizerIs the following scenario possible for stabilizerProve the size of a finite group G divided by the size of the centralizer of a normal subgroup divides the size of that subgroup minus 1 factorialProving an Stabilizer is the whole group.Prove that if there is some orbit with exactly one element, then there are at least two orbits with exactly one element.Computing the stabilizer of a setProve the size of the conjugacy class of $x$ is equal to the index of $C(x)$ in $G$.Which finite group is the stabilizer of this 4-variable cubic polynomial?
$begingroup$
Let G be a subgroup of Sn, the symmetric group on n elements. Prove there is a set A, a subset of 1...n, with at least √n elements such that the stabilizer of x and the stabilizer of y have the same size with respect to the group G for any x and y in A.
Thanks
group-theory finite-groups group-actions
asked Mar 11 at 20:58
bobbob
11
New contributor
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put on hold as off-topic by Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret Mar 11 at 22:00
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." – Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret
add a comment |
$begingroup$
Let G be a subgroup of Sn, the symmetric group on n elements. Prove there is a set A, a subset of 1...n, with at least √n elements such that the stabilizer of x and the stabilizer of y have the same size with respect to the group G for any x and y in A.
Thanks
group-theory finite-groups group-actions
asked Mar 11 at 20:58
bobbob
11
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
put on hold as off-topic by Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret Mar 11 at 22:00
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." – Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret
1
$begingroup$
Welcome to Stackexchange. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
$endgroup$
– Shaun
Mar 11 at 21:26
add a comment |
$begingroup$
Let G be a subgroup of Sn, the symmetric group on n elements. Prove there is a set A, a subset of 1...n, with at least √n elements such that the stabilizer of x and the stabilizer of y have the same size with respect to the group G for any x and y in A.
Thanks
group-theory finite-groups group-actions
asked Mar 11 at 20:58
bobbob
11
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Let G be a subgroup of Sn, the symmetric group on n elements. Prove there is a set A, a subset of 1...n, with at least √n elements such that the stabilizer of x and the stabilizer of y have the same size with respect to the group G for any x and y in A.
Thanks
group-theory finite-groups group-actions
group-theory finite-groups group-actions
asked Mar 11 at 20:58
bobbob
11
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 11 at 20:58
bobbob
11
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 11 at 20:58
bobbob
11
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked Mar 11 at 20:58
bobbob
11
asked Mar 11 at 20:58
bobbob
11
11
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
bob is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret Mar 11 at 22:00
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." – Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret
put on hold as off-topic by Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret Mar 11 at 22:00
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." – Derek Holt, GNUSupporter 8964民主女神 地下教會, Shaun, Lee David Chung Lin, verret
1
$begingroup$
Welcome to Stackexchange. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
$endgroup$
– Shaun
Mar 11 at 21:26
add a comment |
1
$begingroup$
Welcome to Stackexchange. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
$endgroup$
– Shaun
Mar 11 at 21:26
1
1
$begingroup$
Welcome to Stackexchange. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
$endgroup$
– Shaun
Mar 11 at 21:26
$begingroup$
Welcome to Stackexchange. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
$endgroup$
– Shaun
Mar 11 at 21:26
add a comment |
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$begingroup$
Welcome to Stackexchange. You'll find that simple "Here's the statement of my question, solve it for me" posts will be poorly received. What is better is for you to add context (with an edit): What you understand about the problem, what you've tried so far, etc.; something both to show you are part of the learning experience and to help us guide you to the appropriate help. You can consult this link for further guidance.
$endgroup$
– Shaun
Mar 11 at 21:26