Infinite groups of order $2$
128692
Example of an infinite group where every element except identity has order 2
79055
Orders of a symmetric group
156319
Show that a group with $|G| = 33$ contains an element of order $3$
15526
Question on groups of order $pq$
38153
Looking for a simple proof that groups of order $2p$ are up to isomorphism $\mathbb{Z}_{2p}$ and $D_{p}$ .
145127
For any integers $m,n>1$ , does there exist a group $G$ with elements $a,b \in G$ such that $o(a)=m , o(b)=n$ but $ab$ has infinite order ?
32620
Is every group of order $21$ cyclic?
102429
There are 2 groups of order 6 (up to isomorphism)
59811
Finite Abelian groups with the same number of elements for all orders are isomorphic
28210
A finite group with exactly $2$ conjugacy classes isomorphic to $\mathbb{Z}_2$
92750
Groups where all elements are order 3
61550
Existence of elements of order $p^k$ in a finite group
108309
An example of a non-abelian group of order $p^3$
123677
Normal subgroups of infinite symmetric group
152820
Every element of a group has order $2$. Why, intuitively, is it abelian?
15341
Non-abelian finite group in which more than half of the elements have order $2$
124224
How many groups of order $n$ with center {e} exist?