order of quotient ring
110022
Showing prime and maximal ideal
50157
order of a sylow p-subgroup
3907
Abelian quotient group
9393
Order of elements is lcm-closed in abelian groups
40975
Quotient of the ring of integers of a number field by a prime ideal
123419
Abstract algebra: homomorphism and an element of a prime order
2304
What is the quotient of a cyclic group of order $n$ by a cyclic subgroup of order $m$?
79055
Orders of a symmetric group
23037
Computing the order of $\mathrm{SL}_2(\mathbb F_p)$ as the kernel of $\mathrm{GL}_2(\mathbb F_p)$
33025
What is the order of $(\mathbb{Z} \oplus \mathbb{Z})/ \langle (2,2) \rangle$ and is it cyclic?
17178
Order of $\phi(g)$ divides the order of $g$
38571
Localization of a total quotient ring of a reduced ring
114187
In a finite cyclic group, the generator has the order of the group
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
33300
Showing order of $Z (G) =1$ or $pq$
77198
Showing that the characteristic of a commutative ring R without zero divisors is 0 or prime
104513
Order of elements in $Z_n$