pxc3110
  • Member for 7 years, 9 months
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2 answers
7 votes
5k views
1 bookmarks
How can you find all subgroups of a certain group?
1 answers
5 votes
1k views
General linear group and special linear group
2 answers
4 votes
1k views
3 bookmarks
derivative of a symmetric bilinear form (quadratic form version)
1 answers
4 votes
130 views
Getting a wrong result when calculating $\int \frac{x^3}{\sqrt{1-x^8}}dx$
1 answers
4 votes
92 views
1 bookmarks
Then is $f_a$ continious?
3 answers
4 votes
509 views
3 bookmarks
Show that the function $f:X\to \mathbb R$ defined by $f(x)=d(x,A)$ is continuous.
2 answers
4 votes
138 views
$G$ an abelian group, $n>1$ a fixed integer, and $\phi :G\to G$ defined by $\phi(a)=a^n$ for $a\in G$. Determine wheter $\phi$ is onto.
2 answers
4 votes
212 views
1 bookmarks
Why $a^p\in N$ if $[a]^p=[e]$ holds in $G/N$
2 answers
3 votes
3k views
2 bookmarks
If every left coset of $H$ is a right coset the show that $H=aHa^{-1}$ for all a in G
2 answers
3 votes
640 views
Prove that the series still converges under a permutation
0 answers
3 votes
136 views
1 bookmarks
An example of regular singular points
3 answers
3 votes
2k views
2 bookmarks
If G is a finite abelian group and $a_1,...,a_n$ are all its elements, show that $x=a_1a_2a_3...a_n$must satisfy $x^2=e$.
3 answers
3 votes
19k views
2 bookmarks
Show that if $f \circ g$ is surjective, then $f$ is surjective, and $g$, the function applied first, needs not to be.
4 answers
3 votes
2k views
1 bookmarks
Show that $G$ is a group if the cancellation law holds when identity element is not sure to be in $G$
1 answers
2 votes
27 views
Suppose that $f$ is convergence preserving, then show that for some open neighbourhood of $0$, $f$ is antisymmetric w.r.t. the $y$ axis.
3 answers
2 votes
379 views
1 bookmarks
Taylor Expansion for a Multivariable Function
0 answers
2 votes
321 views
Is the Hamiltonian conserved or not?
2 answers
2 votes
143 views
2 bookmarks
Finding the interval of convergence of $\sum^{\infty}_{n=0}\frac{(2n)!}{(n!)^2}x^n$
1 answers
2 votes
565 views
Prove that the curvature of $\gamma$ is $\frac{\kappa_{\alpha}}{\sin^2\theta}$
3 answers
2 votes
270 views
1 bookmarks
Prove: $\kappa^2v^4=|\alpha^{''}|^2-(\frac{dv}{dt})^2.$
1 answers
2 votes
170 views
Computing for $\theta$ component of the geodesic equation
0 answers
2 votes
71 views
I was trying to compute the lie derivative and I didn't find my result in the options under the question
2 answers
2 votes
687 views
Show that if $p$ is a prime of the form $p=4n+1$, then we can solve $x^2\equiv -1\mod p$(with $x$ an integer).
3 answers
2 votes
202 views
The meaning of $\bigcap_{x\in G} x^{-1}Hx$ and the proof for the fact that $N$ is a subgroup of $G$ such that $y^{-1}Ny=N$ for every $y\in G$
0 answers
2 votes
77 views
I study abstract algebra mainly because I'm planning to study relativity Please give me a guideline for learning this subject
1 answers
1 votes
1k views
Prove that the tangent space of the graph of a smooth function at a point is the graph of the differential of $h$ at $x$
2 answers
1 votes
116 views
1 bookmarks
Prove that there is a subset of $T$, which, together with $S$, is again a basis of $E$.
1 answers
1 votes
208 views
Why ${(a^2)}^{\frac 12}=\sqrt {a^2}=|a| \neq a$?
2 answers
1 votes
203 views
Does the series $\sum_{i=1}^{\infty}\log(\sec(\frac1{n}))$ converge?
1 answers
1 votes
68 views
1 bookmarks
Calculate the limit with l'hospital's rule