Characterizing the Prüfer $p$-group
62603
Characterizations of the $p$-Prüfer group
92837
Solvable and nilpotent groups, normal series and intuition
117744
$p$-Sylow in quotient groups
111375
Normality of subgroups and Sylow groups under homomorphisms...
7973
Groups of order $pq$ have a proper normal subgroup
95074
Separability of $l^{p}$ spaces
110390
Order of group $GL_{2}\left( \mathbb{F}_{p}\right) $
148904
Groups of order $p^3$
157841
Existence of a non-abelian group of order $p^n$.
61546
Prove that for each prime $p$ there exists a nonabelian group of order $p^3$
139702
Is $O_{C_p}$ and ${O_{C_p}}^\times$ a profinite group or compact?
122353
Status of the classification of non-finitely generated abelian groups.
126893
A group of order 2p (p prime) and other conditions - prove abelian.
108309
An example of a non-abelian group of order $p^3$
73402
Showing that $(\mathbb{Z}/p^{a}\mathbb{Z})^*$ is a cyclic group
61235
Sylow $p$-subgroup of a direct product is product of Sylow $p$-subgroups of factors
44165
the image of normal subgroups