query: The Maximum possible order for an element $S_n$
positive_passages.docid: 21568
positive_passages.text: Maximal order of an element in a symmetric group
negative_passages.docid: 127233
negative_passages.text: Cardinality of order types in $\mathbb{N}$
negative_passages.docid: 18881
negative_passages.text: Number of elements of order $7$ in a group
negative_passages.docid: 127687
negative_passages.text: Proof of the duality of the dominance order on partitions
negative_passages.docid: 56607
negative_passages.text: gcd and order of elements of group
negative_passages.docid: 149609
negative_passages.text: Conditions on cycle types for permutations to generate $S_n$
negative_passages.docid: 142038
negative_passages.text: Finding the number of elements of order two in the symmetric group $S_4$
negative_passages.docid: 138279
negative_passages.text: Multiplicative order and powers
negative_passages.docid: 104513
negative_passages.text: Order of elements in $Z_n$
negative_passages.docid: 140673
negative_passages.text: how to find the order of an element in a quotient group
negative_passages.docid: 2402
negative_passages.text: Does $\sin n$ have a maximum value for natural number $n$?
negative_passages.docid: 43024
negative_passages.text: Well-ordered sets, properties of an element that is not largest in the set
negative_passages.docid: 143550
negative_passages.text: Order of product of two elements in an abelian group
negative_passages.docid: 73345
negative_passages.text: maximum size of a $k$-intersecting family of $[n]$
negative_passages.docid: 150156
negative_passages.text: Proving that $S_n$ has order $n!$
negative_passages.docid: 19101
negative_passages.text: Permutation induced by a partition
negative_passages.docid: 102634
negative_passages.text: Order of the Rubik's cube group