Why does $A_6$ 6-cycle from $S_6$ which also has even number of 2-cycles and hence is even permutation
4555
How to write permutations as product of disjoint cycles and transpositions
24212
proving how many permutations exist.
87756
Order of a particular given permutation = LCM(order of all disjoint cycles) ?
14932
What would be the number of inequivalent $6$-colourings of the faces of a cube?
13771
Why are two permutations conjugate iff they have the same cycle structure?
61340
Prove that there exists bipartite graph with this degree sequence: $(3,3,3,3,3,5,6,6,6,6,6,6,6,6)$
3479
How to count the no. of distinct ways in which $1,2,...,6$ can be assigned to $6$ faces of a cube?
156247
Question about permutations and cycles (Groups and Symmetries)
146386
Is there a reason why the number of non-isomorphic graphs with $v=4$ is odd?
21958
Splitting of conjugacy class in alternating group
115876
$D_6 \cong D_3\times \mathbb Z_2$
58673
Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$
3161
Galois group of $x^6 + 3$ isomorphic to a copy of $S_3$ inside $S_6$
71262
Subgroups of order $9$ isomorphic to $C_3 \times C_3$ in $S_6$
83837
Odd/Even Permutations
131885
Show that not all 5 cycles in $A_5$ are conjugate in $A_5$
102429
There are 2 groups of order 6 (up to isomorphism)