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Finite Fields in GAP. How to get $d$ from the finite field with $p^d$ elements?

0

$begingroup$

I'm currently working in an algorithm to decompose matrices in classical standard generators.

The thing is that the parameter of my main function gets a matrix m.

With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.

How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?

Thanks!

gap

share|cite|improve this question

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  DegreeOverPrimeField(F) returns the extension degree.
  $endgroup$
  – ahulpke
  Mar 24 at 21:14
  

  
  
  
  

add a comment | 

0

$begingroup$

I'm currently working in an algorithm to decompose matrices in classical standard generators.

The thing is that the parameter of my main function gets a matrix m.

With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.

How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?

Thanks!

gap

share|cite|improve this question

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418

$endgroup$

• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  DegreeOverPrimeField(F) returns the extension degree.
  $endgroup$
  – ahulpke
  Mar 24 at 21:14
  

  
  
  
  

add a comment | 

$begingroup$

I'm currently working in an algorithm to decompose matrices in classical standard generators.

The thing is that the parameter of my main function gets a matrix m.

With the method: q := DefaultFieldOfMatrix(m) I can get the field with $p^d$ elements where $p$ is a prime and $d$ a natural number.

How can I return $d$ from $q$? Notice that I do not have $p$... Is there a method in GAP to return $d$ when I have in hands only the finite field?

Thanks!

gap

share|cite|improve this question

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418

$endgroup$

share|cite|improve this question

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418

share|cite|improve this question

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418

asked Mar 24 at 20:16

Bruno ReisBruno Reis

1,044418