query: Upper bound on the order of elements in the symmetric group
positive_passages.docid: 21568
positive_passages.text: Maximal order of an element in a symmetric group
negative_passages.docid: 127102
negative_passages.text: Upper bound for $\sqrt[n]{n!}$
negative_passages.docid: 55719
negative_passages.text: Order of general- and special linear groups over finite fields.
negative_passages.docid: 98734
negative_passages.text: Order of a product of elements in a generic group
negative_passages.docid: 17178
negative_passages.text: Order of $\phi(g)$ divides the order of $g$
negative_passages.docid: 54585
negative_passages.text: Order of some quotient ring of Gaussian integers
negative_passages.docid: 38083
negative_passages.text: Order of conjugate of an element given the order of its conjugate
negative_passages.docid: 102971
negative_passages.text: Product of all elements of a finite group with an unique element of order 2
negative_passages.docid: 64269
negative_passages.text: Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
negative_passages.docid: 117468
negative_passages.text: $o(g^{k})=\frac{o(g)}{\gcd(o(g),k)}$ order of a power of a group element.
negative_passages.docid: 9393
negative_passages.text: Order of elements is lcm-closed in abelian groups
negative_passages.docid: 50157
negative_passages.text: order of a sylow p-subgroup
negative_passages.docid: 124224
negative_passages.text: How many groups of order $n$ with center {e} exist?
negative_passages.docid: 15387
negative_passages.text: Order of $GL(n, \mathbb Z_p)$
negative_passages.docid: 131946
negative_passages.text: Order of an Element Under a Homomorphism
negative_passages.docid: 79055
negative_passages.text: Orders of a symmetric group
negative_passages.docid: 81864
negative_passages.text: Finite group of order $mn$ with $\gcd(m,n) = 1$ .