query: How many elements π in $S_n$ such that $π^2 = e$ , (the order of π is 1 or 2)?
positive_passages.docid: 17268
positive_passages.text: Cycles in permutations of a given size
negative_passages.docid: 19740
negative_passages.text: What's are all the prime elements in Gaussian integers $\mathbb{Z}[i]$
negative_passages.docid: 94420
negative_passages.text: Dihedral group - elements of order $2$
negative_passages.docid: 122959
negative_passages.text: How is number of conjugacy class related to the order of a group?
negative_passages.docid: 147596
negative_passages.text: Number of solutions to $x^n=e$ in group $G$ is divisible by $n$
negative_passages.docid: 16687
negative_passages.text: Number of Equivalence relations of $\{1,2,3\}$
negative_passages.docid: 57954
negative_passages.text: How many transitive relations on a set of $n$ elements?
negative_passages.docid: 148774
negative_passages.text: show elements of order 15 in $S_8$ satisfy a relation
negative_passages.docid: 11998
negative_passages.text: In how many sequences of length $n$, the difference between every 2 adjacent elements is $1$ or $-1$?
negative_passages.docid: 112049
negative_passages.text: How many elements does $\mathcal{P}(A)$ have?
negative_passages.docid: 77128
negative_passages.text: Necessary and Sufficient conditions for $(i \, j)$ and $(1 \, 2 \, \dotsc \, n)$ generate $S_n$.
negative_passages.docid: 150156
negative_passages.text: Proving that $S_n$ has order $n!$
negative_passages.docid: 135351
negative_passages.text: $C(n,p)$: even or odd?
negative_passages.docid: 41008
negative_passages.text: how many permutations of {1,2,...,9}
negative_passages.docid: 69833
negative_passages.text: Number of elements not equal to their inverses is even number
negative_passages.docid: 6204
negative_passages.text: How many permutations of $\{1, \ldots, n\}$ exist such that none of them contain $(i, i+1)$ (as a sequence) for $i \in {1,...,(n-1)}$?
negative_passages.docid: 143550
negative_passages.text: Order of product of two elements in an abelian group