showing non-isomorphism of groups
113413
How do I show that two groups are not isomorphic?
88930
Homomorphism between free groups
55393
Existence of a group isomorphism between $(\mathbb K,+)$ and $(\mathbb K^\times,\cdot)$
25050
To prove that $(F,+)$ and $(F-\{0\},\cdot)$ are not isomorphic as groups.
107091
Taking the automorphism group of a group is not functorial.
83710
Order of a homomorphism of groups
102912
Subgroups of finitely generated groups are not necessarily finitely generated
30236
isomorphic groups related in direct product.
122353
Status of the classification of non-finitely generated abelian groups.
66877
Showing groups of order $p^{k}(p+1)$ are not simple, p prime
132127
Proving a direct product of groups is a group
111375
Normality of subgroups and Sylow groups under homomorphisms...
37904
Prove that the multiplicative groups $\mathbb{R} - \{0\}$ and $\mathbb{C} - \{0\}$ are not isomorphic.
121141
Proving Finiteness of Group from Presentation
82485
Show that the set of non zero rationals is not a cyclic group under multiplication.
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
149030
Nonisomorphic groups of order 12.