Prove that there is no nonabelian simple group of order less than 60
92899
$G$ is non abelian simple group of order $<100$ then $G\cong A_5$
115973
Computing the number of nonisomorphic finite abelian groups of order $n$
128692
Example of an infinite group where every element except identity has order 2
18160
How to show that the group of nonzero real numbers under multiplication is not isomorphic to the group of real numbers under addition?
104112
Number of finite simple groups of given order is at most $2$ - is a classification-free proof possible?
51196
A group of order $p^2q^2$ is never simple
156549
Prove that there is no group $G$ s.t. $\operatorname{Aut}(G)=\mathbb{Q}$
133272
Number of normal subgroups of a non abelian group of order $21$... CSIR December $2013$
150760
Are there any distinct finite simple groups with the same order?
20944
How do I show that every group of order 90 is not simple?
52089
Group of $2n$ elements, $n$ odd, is not simple
84491
Finding the smallest positive integer $n$ such that $S_n$ contains an element of order 60.
134376
Let $G$ be a nonabelian group. Let $a \in G$ have order $4$ and let $b \in G$ have order $3$. Then the order of the element $ab$ in $G$
49162
Classify all groups with order $pq$, $p$ is not equal to $q$
74218
Show that $S_n$ has no subgroup of index $t$ for $2 < t < n$
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
101735
A finite $p$-group cannot be simple unless it has order $p$