Why doesn't (12)(34) commute with any odd ordered element in $A_5$
87238
$(1 2)(3 4)$ does not commute with any nonidentity element of odd order in $A_5$.
84789
Order of products of elements in a finite Abelian group
66708
Elementary isomorphism between $\operatorname{PSL}(2,5)$ and $A_5$
131946
Order of an Element Under a Homomorphism
39096
Primitive elements of GF(8)
152306
Finding homomorphisms from $\mathbb Z_{12}$ to $\mathbb Z_{6}$.
131885
Show that not all 5 cycles in $A_5$ are conjugate in $A_5$
63798
How can you show there are only 2 nonabelian groups of order 8?
46687
Elements of $GL_{2}(\mathbb{Z})$ of finite order
104513
Order of elements in $Z_n$
33216
Prove that the order of an element in $S_n$ equals the least common multiple of the lengths of the cycles in its cycle decomposition.
94326
a square in a finite field of odd order
35660
Elements of order 2 in $D_{2n}$
3439
Other proofs that subgroups of $A_5$ have order at most 12
47824
Calculation of subgroups of $(Z_{12}, +)$
102634
Order of the Rubik's cube group
112165
Classification of groups of order 12