If two groups $G,G^{'} $ of order $n$ are isomorphic?
28676
Is a finite group uniquely determined by the orders of its elements?
62635
Prove that the additive group $ℚ$ is not isomorphic with the multiplicative group $ℚ^*$.
146028
$GL(n, \mathbb{C})$ is isomorphic to a subgroup of $GL(2n, \mathbb{R})$
66169
Ring of order $n$ is isomorphic to $\Bbb Z/n\Bbb Z$, with $n$ square-free
8841
A $p$-group of order $p^n$ has a normal subgroup of order $p^k$ for each $0\le k \le n$
124309
$g\in G$ maximal order in $G$ abelian then $G=\left\oplus H$
45770
Does the order, lattice of subgroups, and lattice of factor groups, uniquely determine a group up to isomorphism?
93169
Show that $(\mathbb Z[x],+)$ and $(\mathbb Q_{>0},\cdot)$ are isomorphic groups
112157
If $g$ is the generator of a group $G$, order $n$, when is $g^k$ a generator?
108213
$N_1,N_2,N_3 \unlhd G, N_i\cap N_j =\{e\}, G = N_iN_j$. Want to show that $G$ is abelian, $N_i$ are isomorphic.
30676
$G'$ and the product of all the elements in an odd order group
61513
Prove that all cyclic groups of the same order are isomorphic
115649
Proving two sets $A, B$ are order isomorphic
50762
If $S_n$ has cyclic subgroups of these orders or not?
102429
There are 2 groups of order 6 (up to isomorphism)
123860
When are two direct products of groups isomorphic?
122959
How is number of conjugacy class related to the order of a group?