Reputation
17,445
Next privilege 20,000 Rep.
Access 'trusted user' tools
Badges
1 21 45
Newest
 Generalist
Impact
~183k people reached

Mar
28
comment Non-equivalence of norms.
Another way is to find a sequence having a limit in one of the norms, but no limit at all in the other norm.
Mar
28
comment Non-equivalence of norms.
I don’t think that @Three.OneFour means that at all.
Mar
28
comment Analogic transformation?
Then I’m not sure that your question is amenable to mathematical treatment, where we like to have clear and unambiguous definitions that we can use for proving precise statements.
Mar
27
comment Analogic transformation?
I’m not sure I know what a “form” is in this context; and what kind of “similarity” do you have in mind?
Mar
27
comment Explicit construction of Haar mesure on the p-adic number field
Are there problems in mimicking the procedure for $\Bbb R$?
Mar
26
comment Why are separable and normal field extensions so called?
It would be delightful if every property had a name that was reasonably descriptive. In the case of “normal”, this is unfortunately not the case.
Mar
26
comment If K is a perfect field, is any extension of K also a Galois Extension?
It’s certainly true that any algebraic extension of a perfect field is perfect.
Mar
25
answered Additive inverse of elements in the p-adic numbers $\mathbb Q_p$
Mar
25
comment Additive inverse of elements in the p-adic numbers $\mathbb Q_p$
Are you doubting that $\Bbb Q_p$ is a field?
Mar
25
answered Ring homomorphism takes discriminant to discriminant
Mar
25
comment Ring homomorphism takes discriminant to discriminant
I think that the discriminant of $X^2+1$ is $-4$.
Mar
24
answered Algorithm to determine if a given polynomial over $\mathbb{Q}$ is irreducible over the $p$-adic number field
Mar
23
comment Algorithm to determine if a given polynomial over $\mathbb{Q}$ is irreducible over the $p$-adic number field
I like this question, because I ought to know the answer, and don’t.
Mar
22
comment Exponentiation in Modular Arithmetic
Please note that if you're asked to solve the congruence, you should be finding all $a$’s that make the congruence true, not just the obvious one. And you do understand, don't you, that the $a$ in question is an ordinary integer, not something to be read modulo 17?
Mar
22
comment cardinality of polynomial
There are a few theorems you should be aware of. For instance, that if $A$ and $B$ are countable, then so is $A\times B$.
Mar
22
comment cardinality of polynomial
You should tell us what you know and what you've tried so far.
Mar
22
comment How to compute the fixed field of an automorphism?
In that case, let me give you a general strategy: when you have a subgroup, you should always try the trace and the norm of your generating element. Norm is no good here, but you'll see that $\omega+\omega^{-1}$ does the trick for you.
Mar
22
comment How to compute the fixed field of an automorphism?
I don't think that $\sigma$ is of order two.
Mar
21
answered Number of finite extensions of $p$-adic number field of given degree $n$
Mar
19
answered Show that the splitting fields of $x^3 - 2$ and $x^3 - 3$ are not equal