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Mar
7
comment Polynomials at my school exam
What are $h,g$ ? is $f\equiv 1000$ or just for a specific $x$ ?
Feb
23
awarded  Notable Question
Feb
21
comment Show that $\sqrt{2}\notin \mathbb{Q}(\sqrt[4]{3})$
This generalizes well for any $\sqrt[n]{3}$ and not just $\sqrt[4]{3}$ (+1)
Feb
13
answered Is $H$ a subgroup of $G$?
Feb
13
comment $G/Z(G)$ is cyclic then is abelian?
Did you mean to write cyclic instead of the first abelian ?
Feb
12
answered How can I factorize $x^{10}+x^5+1$?
Feb
10
comment How can I determine where in the square this point lies?
Can you explain why those inequalities correspond to whether the point is above or under the line? I didn't understand that part
Feb
9
comment If $o(a),o(b)\gt 1$ and $o(a)$ and $o(b)$ are co-prime then $o(a)o(b)$ divides $|G|$
It does have something to do with group theory, you need to know that the order of an element divides the order of the group
Feb
7
answered Find a homogeneous system of linear equations whose solution space is $\operatorname{Im}T$
Feb
7
answered If $f\circ f\circ g\circ g\circ f\circ f$ is invertible, so is $g$
Feb
6
answered Multiplication of inverse and non-inverse matrices
Feb
6
answered f(x) takes only rational values and f(1)=1. then find f(2)
Jan
29
awarded  Popular Question
Jan
18
comment If $x^m=e$ has at most $m$ solutions for any $m\in \mathbb{N}$, then $G$ is cyclic
@andreamori - not all elements of this cyclic subgroup generate it. And I don't get it.. How did you conclude the inequality?
Jan
18
answered If $A^3=A+I$, then $\det A>0$
Jan
18
comment If $x^m=e$ has at most $m$ solutions for any $m\in \mathbb{N}$, then $G$ is cyclic
Can you give a hint as to how one can prove (2)?
Jan
9
awarded  Nice Question
Jan
7
comment Factoring a fourth degree polynomial with missing degrees
There are no rational roots, what about irrational roots?
Jan
4
comment group size of $x^3 \equiv x+1 \pmod n$
It would be helpful if you provide context (source of problem e.g a course in X) and your thoughts and knowledge in the subject (so you can get answers that fit you)
Jan
3
comment How can we measure how “irrational” a number is?
There is also the degree of a simple extension over the rationals that can be considered as a measurement