Proving that a finite simple group (order < 100) is either abelian or has order 60
92899
$G$ is non abelian simple group of order $<100$ then $G\cong A_5$
51352
Subgroups of a finite abelian group
5089
An element of a group has the same order as its inverse
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
119808
Proving that $n$-cycle has order $n$
59811
Finite Abelian groups with the same number of elements for all orders are isomorphic
157819
Every group of order $56$ has a proper non - trivial normal subgroup?
13631
Showing group with $p^2$ elements is Abelian
31687
Classification of groups of order 30
14528
Proof that all abelian simple groups are cyclic groups of prime order
105139
Verification of Proof that a nonabelian group G of order pq where p and q are primes has a trivial center
61550
Existence of elements of order $p^k$ in a finite group
41231
Subgroups of (Z,+) of order n
101735
A finite $p$-group cannot be simple unless it has order $p$
83654
Order of an element in a finite cyclic group
157841
Existence of a non-abelian group of order $p^n$.
141188
Groups of order $56$