Is there a standard notation for the Galois group of a polynomial? The 2019 Stack Overflow Developer Survey Results Are In Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Galois group of the product of two fields being the product of Galois groups?Galois group of a non-separable polynomialFinding a polynomial with given Galois groupIs there standard notation for an arbitrary polynomial of degree $k$?The Galois group of a polynomialGalois group is $S_n$Galois group of $x^4-1$ over $mathbbQ$.The Galois group of a polynomial over a field and over some extension (updated)Is Galois group of polynomial unique?How Did Galois Understand the Galois Group?
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Is there a standard notation for the Galois group of a polynomial?
The 2019 Stack Overflow Developer Survey Results Are In
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Galois group of the product of two fields being the product of Galois groups?Galois group of a non-separable polynomialFinding a polynomial with given Galois groupIs there standard notation for an arbitrary polynomial of degree $k$?The Galois group of a polynomialGalois group is $S_n$Galois group of $x^4-1$ over $mathbbQ$.The Galois group of a polynomial over a field and over some extension (updated)Is Galois group of polynomial unique?How Did Galois Understand the Galois Group?
$begingroup$
Is there any standard notation for the Galois group of a polynomial $f$? I've been writing $textGal(f)$ but I've recently realised I probably just made that up. I know that you could denote the splitting field by $L/K$ and write $textGal(L/K)$ but I was wondering if there was a notation just in terms of $f$, which would be convenient.
notation galois-theory
asked Apr 8 at 13:37
AlephNullAlephNull
559110
$endgroup$
add a comment |
$begingroup$
Is there any standard notation for the Galois group of a polynomial $f$? I've been writing $textGal(f)$ but I've recently realised I probably just made that up. I know that you could denote the splitting field by $L/K$ and write $textGal(L/K)$ but I was wondering if there was a notation just in terms of $f$, which would be convenient.
notation galois-theory
asked Apr 8 at 13:37
AlephNullAlephNull
559110
$endgroup$
$begingroup$
I think $mathrmGal(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field.
$endgroup$
– Jyrki Lahtonen
Apr 8 at 13:42
$begingroup$
Yes I agree, I'm referring to the case where the field is clear.
$endgroup$
– AlephNull
Apr 8 at 13:46
add a comment |
$begingroup$
Is there any standard notation for the Galois group of a polynomial $f$? I've been writing $textGal(f)$ but I've recently realised I probably just made that up. I know that you could denote the splitting field by $L/K$ and write $textGal(L/K)$ but I was wondering if there was a notation just in terms of $f$, which would be convenient.
notation galois-theory
asked Apr 8 at 13:37
AlephNullAlephNull
559110
$endgroup$
Is there any standard notation for the Galois group of a polynomial $f$? I've been writing $textGal(f)$ but I've recently realised I probably just made that up. I know that you could denote the splitting field by $L/K$ and write $textGal(L/K)$ but I was wondering if there was a notation just in terms of $f$, which would be convenient.
notation galois-theory
notation galois-theory
asked Apr 8 at 13:37
AlephNullAlephNull
559110
asked Apr 8 at 13:37
AlephNullAlephNull
559110
asked Apr 8 at 13:37
AlephNullAlephNull
559110
asked Apr 8 at 13:37
AlephNullAlephNull
559110
asked Apr 8 at 13:37
AlephNullAlephNull
559110
559110
$begingroup$
I think $mathrmGal(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field.
$endgroup$
– Jyrki Lahtonen
Apr 8 at 13:42
$begingroup$
Yes I agree, I'm referring to the case where the field is clear.
$endgroup$
– AlephNull
Apr 8 at 13:46
add a comment |
$begingroup$
I think $mathrmGal(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field.
$endgroup$
– Jyrki Lahtonen
Apr 8 at 13:42
$begingroup$
Yes I agree, I'm referring to the case where the field is clear.
$endgroup$
– AlephNull
Apr 8 at 13:46
$begingroup$
I think $mathrmGal(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field.
$endgroup$
– Jyrki Lahtonen
Apr 8 at 13:42
$begingroup$
I think $mathrmGal(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field.
$endgroup$
– Jyrki Lahtonen
Apr 8 at 13:42
$begingroup$
Yes I agree, I'm referring to the case where the field is clear.
$endgroup$
– AlephNull
Apr 8 at 13:46
$begingroup$
Yes I agree, I'm referring to the case where the field is clear.
$endgroup$
– AlephNull
Apr 8 at 13:46
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
$operatornameGal(f)$ is standard.
answered Apr 8 at 13:40
UnitUnit
5,26111029
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add a comment |
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$begingroup$
$operatornameGal(f)$ is standard.
answered Apr 8 at 13:40
UnitUnit
5,26111029
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add a comment |
$begingroup$
$operatornameGal(f)$ is standard.
answered Apr 8 at 13:40
UnitUnit
5,26111029
$endgroup$
add a comment |
$begingroup$
$operatornameGal(f)$ is standard.
answered Apr 8 at 13:40
UnitUnit
5,26111029
$endgroup$
$operatornameGal(f)$ is standard.
answered Apr 8 at 13:40
UnitUnit
5,26111029
answered Apr 8 at 13:40
UnitUnit
5,26111029
answered Apr 8 at 13:40
UnitUnit
5,26111029
answered Apr 8 at 13:40
UnitUnit
5,26111029
5,26111029
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$begingroup$
I think $mathrmGal(f)$ is fine If the smaller field $K$ is absolutely clear from the context^. Particularly if we can infer that $K$ is a prime field.
$endgroup$
– Jyrki Lahtonen
Apr 8 at 13:42
$begingroup$
Yes I agree, I'm referring to the case where the field is clear.
$endgroup$
– AlephNull
Apr 8 at 13:46