Finite abelian group as an internal direct product
124309
$g\in G$ maximal order in $G$ abelian then $G=\left\oplus H$
151862
Is any subgroup of a direct product isomorphic to a direct product of subgroups?
152954
Extensions of finite cyclic groups
43783
Abelian group (Commutative group)
108330
Product of all elements in finite abelian group equals its own inverse
46263
Automorphisms of infinite abelian groups
149750
Help understanding Fundamental Theorem of Finite Abelian Groups
42153
Every finite abelian group is the Galois group of some finite extension of the rationals
112872
Involutions and Abelian Groups
129120
Example of a group $G$ such that $G = N_1\cdots N_n$ and $N_i \cap N_j = \{e\}$ for all $i \neq j$ but $G$ is not the internal direct product of them.
113259
The confusing nature of direct sum for finite abelian groups
129827
Product of invertibles in $\Bbb Z_n$ [Wilson's Theorem generalization]
66806
A nonsplit short exact sequence of abelian groups with $B \cong A \oplus C$
61235
Sylow $p$-subgroup of a direct product is product of Sylow $p$-subgroups of factors
50114
A question about direct sums and products of modules
63541
Projective and injective modules; direct sums and products
116125
A group $G$ with $G'$ abelian and every abelian normal subgroup finite