query: Semidirect products of $S_n$
positive_passages.docid: 24561
positive_passages.text: $\mathbb S_n$ as semidirect product
negative_passages.docid: 123860
negative_passages.text: When are two direct products of groups isomorphic?
negative_passages.docid: 134081
negative_passages.text: What is the Cartesian product of $n$ polygons?
negative_passages.docid: 129827
negative_passages.text: Product of invertibles in $\Bbb Z_n$ [Wilson's Theorem generalization]
negative_passages.docid: 16476
negative_passages.text: Order of the product of two commuting elements with coprime orders in a group.
negative_passages.docid: 7575
negative_passages.text: Show the commutator subgroup of $S_{n}$ is $A_{n}$ for $n \geq 5$
negative_passages.docid: 41231
negative_passages.text: Subgroups of (Z,+) of order n
negative_passages.docid: 104274
negative_passages.text: Express $C$ interms of the sets $A_n$
negative_passages.docid: 37953
negative_passages.text: Primary Decomposition of $\mathbb{R^n}$ under T
negative_passages.docid: 111348
negative_passages.text: Show that $\mathrm{S}_{m} \times \mathbb{N}^{m} \rightarrow \mathbb{N}^{m}$ defines an action of $\mathrm{S}_{m}$ on $\mathbb{N}^{m}$
negative_passages.docid: 5741
negative_passages.text: Direct product of abelian groups
negative_passages.docid: 123828
negative_passages.text: finite and infinite product of discrete space
negative_passages.docid: 78283
negative_passages.text: Centralizer of a given element in $S_n$?
negative_passages.docid: 102383
negative_passages.text: Associativity of Cartesian Product
negative_passages.docid: 114916
negative_passages.text: $\mathbb Z_{mn}$ isomorphic to $\mathbb Z_m\times\mathbb Z_n$ whenever $m$ and $n$ are coprime
negative_passages.docid: 86025
negative_passages.text: Nonabelian semidirect products of order $pq$?
negative_passages.docid: 82843
negative_passages.text: Subgroups of $\Bbb{R}^n$ that are closed and discrete