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comment How can I find conjugate classes of $\mathbb Z_4$ or any$\mathbb Z_n$?
Yes, it does. But note that the class of $n$ is the same as the class of $0$.
2d
comment How can I find conjugate classes of $\mathbb Z_4$ or any$\mathbb Z_n$?
These groups are abelian... The binary operation is addition mod $n$.
Apr
30
comment What does $k^*/k^{*^2}$ mean?
@PVanchinathan, right, thanks! But it's the infinite direct sum, not product (using Wikipedia's terminology) because all but finitely many components are $1$.
Apr
30
revised What does $k^*/k^{*^2}$ mean?
added 19 characters in body
Apr
30
answered What does $k^*/k^{*^2}$ mean?
Apr
29
comment Why $x^2$ may not be a solution to a general second order homogenous differential equations
We only need $p$ and $q$ to be defined at $x=0$.
Apr
29
answered Is there a homomorphism from the general linear group of order n to the real numbers?
Apr
29
comment Finding all linear operators $L: C([0,1]) \to C([0,1])$ which satisfy 2 conditions
encyclopediaofmath.org/index.php/Bohman-Korovkin_theorem
Apr
29
comment Finding a subgroup of an abelian group that is isomorphic to Z
More interestingly, $G$ must have $\mathbb Z$ as a direct factor, at least when $G$ is finitely generated.
Apr
29
comment Finding a subgroup of an abelian group that is isomorphic to Z
$K$ is a red herring.
Apr
29
answered Finding a subgroup of an abelian group that is isomorphic to Z
Apr
28
answered Proving that $8^n-2^n$ is a multiple of $6$ for all $n\geq 0$ by induction
Apr
28
comment Famous smoking mathematicians
I don't think this question is at all relevant to mathematics.
Apr
28
answered Prove the $Int(A) \subseteq A$. Using elements/ sets
Apr
28
answered Find the smallest subring of $\mathbb{Z}$ containing $8$.
Apr
28
comment In a ring with no zero-divisors, for $(m,n) =1$, $a^m = b^m$ and $a^n = b^n$ $\iff a =b$
This almost works. You just have to move the negative term to the other side: $1+nk=mi$.
Apr
27
answered Can this property of the Gaussian integers apply to other rings like $\mathbb{Z}[\sqrt{2}]$?
Apr
25
comment Textbook +reference book in complex analysis
See math.stackexchange.com/questions/160132/complex-analysis-book.
Apr
17
comment Is there any good software to plot trigonometry graph?
If you have a Mac, use Grapher.