Show that A*B and B*A have the same order
34973
Is it true that the order of $ab$ is always equal to the order of $ba$?
14162
How can I prove $\sup(A+B)=\sup A+\sup B$ if $A+B=\{a+b\mid a\in A, b\in B\}$
142263
Assuming $ab^2 = b^3a$ and $a^2=1$ prove that the order of $b$ is $5$.
22856
Ways to go from A to B(proof)
26398
Group of even order contains an element of order 2
91829
Prove $(ah,bk)=(a,b)(h,k)\left(\frac{a}{(a,b)},\frac{k}{(h,k)}\right)\left(\frac{b}{(a,b)},\frac{h}{(h,k)}\right)$
108943
Combining the second elements of a set of ordered pairs based on their first element
1405
Arrangements of a,a,a,b,b,b,c,c,c in which no three consecutive letters are the same
126018
Show that $ e^{A+B}=e^A e^B$
131946
Order of an Element Under a Homomorphism
151038
How to prove (A v B), (A → C), (B → D) therefore (C v D)
127687
Proof of the duality of the dominance order on partitions
8742
Examples and further results about the order of the product of two elements in a group
98734
Order of a product of elements in a generic group
33542
When is $A- B = B- A$?
144502
Showing that $A\cap B = A\setminus (A\setminus B)$
40848
$a\mid b,c\mid d\Rightarrow\,\gcd(a,c)\mid \gcd(b,d)$