query: Generators of symmetric group $S_n$
positive_passages.docid: 149294
positive_passages.text: How do i prove how $S_5$ is generated by a two cycle and a five cycle?
negative_passages.docid: 57309
negative_passages.text: Show that the free group on $n$ generators is a finite index subgroup of $F_2$
negative_passages.docid: 45947
negative_passages.text: Find generator of multiplicative group of $\mathbb{F}_{27}$
negative_passages.docid: 130937
negative_passages.text: Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
negative_passages.docid: 68201
negative_passages.text: Cyclic group of order $n$
negative_passages.docid: 48393
negative_passages.text: Abelian groups of order n.
negative_passages.docid: 41231
negative_passages.text: Subgroups of (Z,+) of order n
negative_passages.docid: 19026
negative_passages.text: What do all the $k$-cycles in $S_n$ generate?
negative_passages.docid: 142413
negative_passages.text: Normal Subgroups of $SU(n)$
negative_passages.docid: 41709
negative_passages.text: Show that the symmetric group $S_p = $, where $\sigma$ is any transposition and $\tau$ is any p- cycle and p is a prime number.
negative_passages.docid: 135808
negative_passages.text: Show that there is a positive integer $n$ such that $G \cong \ker(\phi^{n}) \times \phi^{n}(G)$
negative_passages.docid: 157806
negative_passages.text: Order of a element on a Symmetric Group
negative_passages.docid: 111779
negative_passages.text: Ordinary generating function for $\binom{3n}{n}$
negative_passages.docid: 47522
negative_passages.text: group generators of $(\mathbb Z_{17}-\{0\},\times)$
negative_passages.docid: 148413
negative_passages.text: Proving $S_n$ is generated by the set $\{(1\text{ }2),(2\text{ }3),\cdots,(n-1\text{ }n)\}$ of $n-1$ transpositions.
negative_passages.docid: 58397
negative_passages.text: Every cyclic group with order > 2 has at least 2 distinct generators
negative_passages.docid: 78523
negative_passages.text: Is symmetric group on natural numbers countable?