Show that $\sigma^2$ is a Cycle iff the length of $\sigma$ is Odd
109245
α² is a cycle if and only if s is odd
104308
Proving a set is a Sigma Algebra
126060
Proving that a Euler Circuit has a even degree for every vertex
91777
Product of Non-Disjoint Cycles
131885
Show that not all 5 cycles in $A_5$ are conjugate in $A_5$
17268
Cycles in permutations of a given size
19026
What do all the $k$-cycles in $S_n$ generate?
125668
A proof that BS(1,2) is not polycyclic
115204
Show that SO(n) is a normal subgroup of O(n)
11665
Show that $D_{12}$ is isomorphic to $D_6\times C_2$
66703
Show that $8 \mid (a^2-b^2)$ for $a$ and $b$ both odd
156247
Question about permutations and cycles (Groups and Symmetries)
146016
no cycles if and only if has $n-m$ connected components
119793
Proving that $D_{12}\cong S_3 \times C_2$
43849
Calculating number of elements commmuting with $\sigma\in S_{10}$
64118
Number of elements in a finite $\sigma$-algebra
145214
Showing the power set is equinumerous to ${}^X2$