How is $g(12)(34)g^{-1} = (g(1) g(2))(g(3)g(4))$
13771
Why are two permutations conjugate iff they have the same cycle structure?
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
112165
Classification of groups of order 12
36887
Suppose $G$ is a group of order 4. Show either $G$ is cyclic or $x^2=e$.
47824
Calculation of subgroups of $(Z_{12}, +)$
80648
What's $(-1)^{2/3}\; $?
110313
Prove that $\gcd(f(x),g(x)) = 1$.
33996
Proving that $\gcd(2^m - 1, 2^n - 1) = 2^{\gcd(m,n )} - 1$
8602
Galois Group of $(x^2-p_1)\cdots(x^2-p_n)$
150585
Group with $a=a^{-1}$ for all $a\in G$ is abelian
129605
$ 2g(z)=g(\frac{z}{2}) + g(\frac{z+1}{2})$
75480
Matrix Identity $(I-G_1G_2)^{-1}G_1=G_1(I-G_2G_1)^{-1}$?
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$
158210
showing $\arctan(\frac{2}{3}) = \frac{1}{2} \arctan(\frac{12}{5})$
96329
Show that for any $k$-cycle $(a_1 a_2...a_k) \in S_n$, and for any permutation $\pi \in S_n$, $\pi(a_1...a_k)\pi^{-1}=(\pi(a_1)..\pi(a_k))$
101596
Determine group G as cyclic
21217
$G$, group. $a,b\in G$. Show that $|a|=|a^{-1}|; |ab|=|ba|$, and $|a|=|cac^{-1}|, \forall c\in G$.