The Sylow subgroups are unique?
55178
When there is a unique Sylow p-subgroup it is normal, does this mean that non-unique p-subgroups are not normal?
74452
On a uniqueness proof for solutions of $\ a + x = b\,$ in a group
99999
A question on identifying normal subgroups of $S_4$
81406
Does every set have a group structure?
41231
Subgroups of (Z,+) of order n
56650
Prove that $(G, \circ)$ is a group if $a\circ x = b$ and $x\circ a = b$ have unique solutions
28181
Sylow subgroups of $S_3$ and $S_4$
64269
Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
68955
Characterising subgroups of Prüfer $p$-groups.
111375
Normality of subgroups and Sylow groups under homomorphisms...
133770
Subgroups of finite abelian groups.
40513
A finite group which has a unique subgroup of order $d$ for each $d\mid n$.
157136
Why a special ball in $S^3$ is unique?
43750
Subgroups of finite solvable groups. Solvable?
42096
Direct product of Sylow subgroups
102912
Subgroups of finitely generated groups are not necessarily finitely generated
76504
Non-trivial cyclic group with unique generator