Consider the rationals $\mathbb{Q}$ viewed as group under addition and let $G=\mathbb{Q}/\mathbb{Z}$
101602
consider the group $G=\mathbb Q/\mathbb Z$. For $n>0$, is there a cyclic subgroup of order n
78852
If $\gcd(m,n) =1, $ then $m\mathbb{Z}/ mn\mathbb{Z} \cong \mathbb{Z}/(n)$
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
22783
Is the set $Z_n = \{ 0, 1, . . . , n-1 \}$ for $n ≥ 1$ is a group under addition modulo n?
145561
About the additive group and the multiplicative group of a field
117132
Rationals of the form $\frac{p}{q}$ where $p,q$ are primes in $[a,b]$
108830
Let $G$ be a group of order $2p$ , where $p$ is a prime greater than $2$. Then, G is isomorphic to $\mathbb{Z}_{2p}$ or $D_p$
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
95240
Show that $({\mathbb{Q}},+)$ is not finitely generated using the Fundamental Theorem of Finitely Generated Abelian Groups.
32516
show that rational numbers with the multipiciation are not abelian finitely generated group
103148
Show Galois group of $f(t) = t^5 - 3$ over $\mathbb Q$ is solvable
70688
How can I prove that the additive group of rationals is not isomorphic to a direct product of two nontrivial groups?
29717
Not sure how to go about this group theory proof
4996
Proving $Gal(K/\mathbb{Q})$ is $D_4$.
42810
Is $(\mathbb{Q},+)$ isomorphic to $(\mathbb{Q}^n,+)$?
18160
How to show that the group of nonzero real numbers under multiplication is not isomorphic to the group of real numbers under addition?
5069
$GL_n(\mathbb F_q)$ has an element of order $q^n-1$