Non-abelian finite $p$-group in which every element has prime order?
92750
Groups where all elements are order 3
108309
An example of a non-abelian group of order $p^3$
15630
Normal subgroup of prime order is characteristic
76446
Why are cyclic groups of order $p$ (prime) unique up to isomorphism?
96878
A finite group with the property that all of its proper subgroups are abelian
103423
Normal subgroup where G has order prime
19668
Does every group whose order is a power of a prime p contain an element of order p?
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
54453
Finite abelian $p$-group with only one subgroup size $p$ is cyclic
8841
A $p$-group of order $p^n$ has a normal subgroup of order $p^k$ for each $0\le k \le n$
88718
A group is generated by two elements of order $2$ is infinite and non-abelian
19352
Normal subgroup of index m contains every element of order n where m and n are relatively prime
4402
Group of order $pqr$, $p < q < r$ primes
6189
Examples of infinite groups such that all their respective elements are of finite order.
83654
Order of an element in a finite cyclic group
18182
An abelian group $G$ with ${\rm Aut}(G)$ non-abelian
7973
Groups of order $pq$ have a proper normal subgroup