Tor of a group and counter example
91021
Torsion elements of a group aren't necessarily a subgroup
85222
Direct sum of finitely-many non-abelian groups
130792
Commutator of a group
35401
Examples of finite groups that are not a semidirect product
116737
An element of a group $G$ is not conjugate to its inverse if $\lvert G\rvert$ is odd
156319
Show that a group with $|G| = 33$ contains an element of order $3$
76504
Non-trivial cyclic group with unique generator
5089
An element of a group has the same order as its inverse
121141
Proving Finiteness of Group from Presentation
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
126065
Example $g\circ f=id_A$ but $f\circ g\neq id_B$
77297
Counterexample for $A,B\triangleleft G,G/A\cong B \Rightarrow G/B\cong A$
59902
Example of $2$ non-isomorphic groups that have the same quotients
148285
Generator of group $D_n$
6385
Minimal counterexamples of the isomorphism problem for integral group rings
57883
Example of a Subgroup That Is Not Normal
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)