query: Involutions of $S_n$
positive_passages.docid: 147484
positive_passages.text: For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?
negative_passages.docid: 26197
negative_passages.text: $B^n/S^{n-1}$ is homeomorphic to $S^n$
negative_passages.docid: 96680
negative_passages.text: Generators of symmetric group $S_n$
negative_passages.docid: 12469
negative_passages.text: $\varphi$ in $\operatorname{Hom}{(S^1, S^1)}$ are of the form $z^n$
negative_passages.docid: 104374
negative_passages.text: Diagonalizability of an involution over a Field
negative_passages.docid: 37906
negative_passages.text: Prove $s_n$ is a Cauchy sequence for $|s_{n+1}-s_n|\lt2^{-n}$
negative_passages.docid: 19026
negative_passages.text: What do all the $k$-cycles in $S_n$ generate?
negative_passages.docid: 101286
negative_passages.text: How show that $|a_{n}-1|\le c\lambda ^n,\lambda\in (0,1)$
negative_passages.docid: 149609
negative_passages.text: Conditions on cycle types for permutations to generate $S_n$
negative_passages.docid: 115204
negative_passages.text: Show that SO(n) is a normal subgroup of O(n)
negative_passages.docid: 42412
negative_passages.text: Singular homology $S^{n}$ with rational coefficients
negative_passages.docid: 120968
negative_passages.text: Isomorphism of stabilizer over $S_n$ to $S_{n-1}$
negative_passages.docid: 128305
negative_passages.text: $PGL(n, F)=PSL(n, F)$
negative_passages.docid: 141010
negative_passages.text: Computing $n$-th external power of standard simplectic form
negative_passages.docid: 50130
negative_passages.text: $\operatorname{Aut}(V)$ is isomorphic to $S_3$
negative_passages.docid: 110018
negative_passages.text: Conjugacy classes in $A_n$.
negative_passages.docid: 75988
negative_passages.text: Explicit isomorphism $S_4/V_4$ and $S_3$