Proof of the right and left cancellation laws for Groups
32253
How to prove $b=c$ if $ab=ac$ (cancellation law in groups)?
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
112690
Lie Group Decomposition as Semidirect Product of Connected and Discrete Groups
32428
Group homomorphisms and which of the following statements are true (NBHM-$2014$)
114662
Construction of a specific non-commutative and infinite group (with conditions on the order of the elements)
99346
Prove a result on transitive group actions.
30003
Proving that Order for N is Anti-symmetric
130706
Group presentations and the Dihedral Group
145123
Prove a group generated by two involutions is dihedral
98155
Free products of cyclic groups
35369
Monoid / semigroup with cancellation property $ ab=ac\Rightarrow b = c,$ $\ ba = ca\Rightarrow b = c$
120911
Clarification on proof: Order of left cosets equal
93703
Groups of units of $\mathbb{Z}\left[\frac{1+\sqrt{-3}}{2}\right]$
4240
The proof of Triple Vector Products
41483
Proof relation between Levi-Civita symbol and Kronecker deltas in Group Theory
60208
Proof of property of abelian group
37971
Prove that the center of a group is a normal subgroup