query: Subgroup of $S_n$ with elements having cycles of any possible length
positive_passages.docid: 149609
positive_passages.text: Conditions on cycle types for permutations to generate $S_n$
negative_passages.docid: 61550
negative_passages.text: Existence of elements of order $p^k$ in a finite group
negative_passages.docid: 139835
negative_passages.text: Every Finite Group is Isomorphic to a Subgroup of $A_n$
negative_passages.docid: 82843
negative_passages.text: Subgroups of $\Bbb{R}^n$ that are closed and discrete
negative_passages.docid: 149578
negative_passages.text: Subgroups of $(\mathbb Z_n,+)$
negative_passages.docid: 154398
negative_passages.text: Show that H is a subgroup of G
negative_passages.docid: 76962
negative_passages.text: Sylow $p$-subgroups of $GL_n(\mathbb{F}_p)$
negative_passages.docid: 91777
negative_passages.text: Product of Non-Disjoint Cycles
negative_passages.docid: 92750
negative_passages.text: Groups where all elements are order 3
negative_passages.docid: 151130
negative_passages.text: When is the product of $n$ subgroups a subgroup?
negative_passages.docid: 51352
negative_passages.text: Subgroups of a finite abelian group
negative_passages.docid: 86336
negative_passages.text: For $G$ group and $H$ subgroup of finite index, prove that $N \subset H$ normal subgroup of $G$ of finite index exists
negative_passages.docid: 50762
negative_passages.text: If $S_n$ has cyclic subgroups of these orders or not?
negative_passages.docid: 141379
negative_passages.text: All groups where underlying set has at most 4 elements
negative_passages.docid: 41294
negative_passages.text: Permutation module of $S_n$
negative_passages.docid: 156154
negative_passages.text: Sylow 2 subgroups of S4
negative_passages.docid: 155372
negative_passages.text: Find the number of permutations in $S_n$ containing fixed elements in one cycle