Find Groups Whose Direct Products are Isomorphic
99538
Non-trivial groups pairwise non-isomorphic with isomorphic direct products
129157
An exercise on isomorphic groups of order 24
70688
How can I prove that the additive group of rationals is not isomorphic to a direct product of two nontrivial groups?
126098
Isomorphism of factor 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.
28576
Galois Groups are isomorphic to subgroups of symmetric groups.
5741
Direct product of abelian groups
129610
Why is the direct product of a finite number of nilpotent groups nilpotent?
61235
Sylow $p$-subgroup of a direct product is product of Sylow $p$-subgroups of factors
153250
Finding the derived group
25439
f(a) = inverse of a is an isomorphism iff a group G is Abelian
66863
How is the quotient group related to the direct product group?
23077
Prove that the dihedral group $D_4$ can not be written as a direct product of two groups
136389
Finding an isomorphic subring of matrices
151287
Isomorphic abelian groups which are not isomorphic R-modules
33294
The correspondence theorem for groups
128443
Isomorphism between finite groups