Is there a general approach for finding the Normalizer of a subgroup? [closed]












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I am currently facing a problem where I need to find the Normalizer of a subgroup. I have found examples where people compute the normalizer for specific subgroups, but no general approach.



Does anyone know of such an approach or of a source which explains it?










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$endgroup$



closed as too broad by Namaste, Derek Holt, Nosrati, KReiser, Shailesh Dec 8 '18 at 0:29


Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














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    $begingroup$
    since these proofs often involve the specific structure if the group (i.e. free generators, relations...), it could be helpful to know which examples you are facing
    $endgroup$
    – Enkidu
    Dec 7 '18 at 11:12






  • 1




    $begingroup$
    Of course there are algorithms for computing normalizers in subgroups of $S_n$ for example, but you would need to ask much more specific questions if you were interested in the details.
    $endgroup$
    – Derek Holt
    Dec 7 '18 at 11:38
















1












$begingroup$


I am currently facing a problem where I need to find the Normalizer of a subgroup. I have found examples where people compute the normalizer for specific subgroups, but no general approach.



Does anyone know of such an approach or of a source which explains it?










share|cite|improve this question











$endgroup$



closed as too broad by Namaste, Derek Holt, Nosrati, KReiser, Shailesh Dec 8 '18 at 0:29


Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.














  • 1




    $begingroup$
    since these proofs often involve the specific structure if the group (i.e. free generators, relations...), it could be helpful to know which examples you are facing
    $endgroup$
    – Enkidu
    Dec 7 '18 at 11:12






  • 1




    $begingroup$
    Of course there are algorithms for computing normalizers in subgroups of $S_n$ for example, but you would need to ask much more specific questions if you were interested in the details.
    $endgroup$
    – Derek Holt
    Dec 7 '18 at 11:38














1












1








1





$begingroup$


I am currently facing a problem where I need to find the Normalizer of a subgroup. I have found examples where people compute the normalizer for specific subgroups, but no general approach.



Does anyone know of such an approach or of a source which explains it?










share|cite|improve this question











$endgroup$




I am currently facing a problem where I need to find the Normalizer of a subgroup. I have found examples where people compute the normalizer for specific subgroups, but no general approach.



Does anyone know of such an approach or of a source which explains it?







group-theory reference-request finite-groups






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 7 '18 at 11:11









klirk

1




1










asked Dec 7 '18 at 11:01









HaddockHaddock

84




84




closed as too broad by Namaste, Derek Holt, Nosrati, KReiser, Shailesh Dec 8 '18 at 0:29


Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.









closed as too broad by Namaste, Derek Holt, Nosrati, KReiser, Shailesh Dec 8 '18 at 0:29


Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.










  • 1




    $begingroup$
    since these proofs often involve the specific structure if the group (i.e. free generators, relations...), it could be helpful to know which examples you are facing
    $endgroup$
    – Enkidu
    Dec 7 '18 at 11:12






  • 1




    $begingroup$
    Of course there are algorithms for computing normalizers in subgroups of $S_n$ for example, but you would need to ask much more specific questions if you were interested in the details.
    $endgroup$
    – Derek Holt
    Dec 7 '18 at 11:38














  • 1




    $begingroup$
    since these proofs often involve the specific structure if the group (i.e. free generators, relations...), it could be helpful to know which examples you are facing
    $endgroup$
    – Enkidu
    Dec 7 '18 at 11:12






  • 1




    $begingroup$
    Of course there are algorithms for computing normalizers in subgroups of $S_n$ for example, but you would need to ask much more specific questions if you were interested in the details.
    $endgroup$
    – Derek Holt
    Dec 7 '18 at 11:38








1




1




$begingroup$
since these proofs often involve the specific structure if the group (i.e. free generators, relations...), it could be helpful to know which examples you are facing
$endgroup$
– Enkidu
Dec 7 '18 at 11:12




$begingroup$
since these proofs often involve the specific structure if the group (i.e. free generators, relations...), it could be helpful to know which examples you are facing
$endgroup$
– Enkidu
Dec 7 '18 at 11:12




1




1




$begingroup$
Of course there are algorithms for computing normalizers in subgroups of $S_n$ for example, but you would need to ask much more specific questions if you were interested in the details.
$endgroup$
– Derek Holt
Dec 7 '18 at 11:38




$begingroup$
Of course there are algorithms for computing normalizers in subgroups of $S_n$ for example, but you would need to ask much more specific questions if you were interested in the details.
$endgroup$
– Derek Holt
Dec 7 '18 at 11:38










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