query: Finding the Order of a Quotient Ring
positive_passages.docid: 6121
positive_passages.text: Quotient ring of Gaussian integers
negative_passages.docid: 88199
negative_passages.text: The commutator subgroup of a quotient in terms of the commutator subgroup and the kernel
negative_passages.docid: 73743
negative_passages.text: Number of elements in the quotient ring $\mathbb{Z}[X]/(X^2-3, 2X+4)$
negative_passages.docid: 38853
negative_passages.text: Cyclic group of prime order
negative_passages.docid: 27704
negative_passages.text: Cardinality of quotient ring $\mathbb{Z_6}[X]/(2X+4)$
negative_passages.docid: 40975
negative_passages.text: Quotient of the ring of integers of a number field by a prime ideal
negative_passages.docid: 17178
negative_passages.text: Order of $\phi(g)$ divides the order of $g$
negative_passages.docid: 131946
negative_passages.text: Order of an Element Under a Homomorphism
negative_passages.docid: 16476
negative_passages.text: Order of the product of two commuting elements with coprime orders in a group.
negative_passages.docid: 57732
negative_passages.text: Rings of fractions and homomorphisms
negative_passages.docid: 122125
negative_passages.text: Order of group element divides order of finite group
negative_passages.docid: 62183
negative_passages.text: Find the quotient field of $\mathbb{Z}[\sqrt {2}]$
negative_passages.docid: 24980
negative_passages.text: What is the order when doing $x^{y^z}$ and why?
negative_passages.docid: 56607
negative_passages.text: gcd and order of elements of group
negative_passages.docid: 62035
negative_passages.text: Order of automorphism group of cyclic group
negative_passages.docid: 13289
negative_passages.text: Order of Double Coset
negative_passages.docid: 87756
negative_passages.text: Order of a particular given permutation = LCM(order of all disjoint cycles) ?