Intereting Posts

Distribution of Universal Quantifiers
number of combinations without repetition with limited supply
Martingale preservation under independent enlargement of filtration
Prime ideal in a polynomial ring over an integrally closed domain
Proving $\sin (x)=\cos (90^\circ-x)$
Swatting flies with a sledgehammer
$\langle r\rangle$ maximal $\iff r$ irreducible
Poisson Process Conditional Probability Question
A convex function is differentiable at all but countably many points
Number of zeros at the end of $k!$
Shortest ternary string containing all ternary strings of length 3?
Can a neighbourhood of a point be an singleton set?
Evaluate $\lim_{n\to\infty} \log^a(n)/n^b$
Geometric justification for the prime spectrum and “generic points”
Distinguished open sets in $\mathbb{P}^n$

the circle group is the multiplicative group of all complex numbers of absolute value 1. How can i show that this group is isomorphic with $\mathbb R/ \mathbb Z$. Any hints for the right map is great.

- Groups having at most one subgroup of any given finite index
- outer automorphisms of $S_6$
- Properties of point stabilizers of $PSL(2, q)$
- $G$ finite group, $H\leq G$ such that $C_G(x)\subseteq H\quad\forall x\in H$ such that $p\mid o(x)$
- What are the elements of order $n$ in symmetric group $S_n$?
- Minimum size of the generating set of a direct product of symmetric groups
- What structure does the alternating group preserve?
- Laws of Exponents for Cosets - Fraleigh p. 142 14.22
- Proof that group is commutative if every element is its inverse (feedback wanted)
- Possibilities for a group $G$ that acts faithfully on a set of objects with two orbits?

**Hint:** The complex exponent map.

The map $\phi\colon\Bbb R\to T$ given by $\phi(t)=e^{2\pi it}$ is a group morphism. Hence we can apply first isomorphism theorem.

- $\int_0^1 {\frac{{\ln (1 – x)}}{x}}$ without power series
- understanding integration by change of variables
- Volumes of cones, spheres, and cylinders
- Isotropic Manifolds
- Omega limit set is invariant
- I understand what a division ring is, but cannot find any examples. Can anyone give me one?
- Why does the Mandelbrot set contain (slightly deformed) copies of itself?
- For prime $p>2: 1^23^25^2\cdot\cdot\cdot(p-2)^2 \equiv (-1)^{\frac{p+1}{2}} \pmod p$
- In an incomplete inner product space, is a closed linear subspace equal to the orthogonal complement of its orthogonal complement?
- Number of Fixed Point(s) of a Differentiable Function
- Nonabelian groups of order $p^3$
- Find polynomials such that $(x-16)p(2x)=16(x-1)p(x)$
- How to evaluate $I=\int\limits_0^{\pi/2}\frac{x\log{\sin{(x)}}}{\sin(x)}\,dx$
- Does $A\times A\cong B\times B$ imply $A\cong B$?
- Derive the centroid of an area from a limiting procedure