Are all groups of order $2\cdot p$ abelian?
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
57427
Group of order $8p$ is solvable, for any prime $p$
84789
Order of products of elements in a finite Abelian group
36882
Two finite abelian groups with the same number of elements of any order are isomorphic
43783
Abelian group (Commutative group)
81543
Finite abelian group contains an element with order equal to the lcm of the orders of its elements
4402
Group of order $pqr$, $p < q < r$ primes
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
108310
$(a_1 a_2 \cdots a_n)^2=e$ in a finite abelian group
92750
Groups where all elements are order 3
56607
gcd and order of elements of group
106123
Is there a finite abelian group $G$ such that $\textrm{Aut}(G)$ is abelian but $G$ is not cyclic?
91287
Is $G/pG$ is a $p$-group?
68201
Cyclic group of order $n$
33233
Need to prove that $(S,\cdot)$ defined by the binary operation $a\cdot b = a+b+ab$ is an abelian group on $S = \Bbb R \setminus \{-1\}$.
13734
Show that every group of prime order is cyclic
1577
Order of nontrivial elements is 2 implies Abelian group