Showing a surjective homomorphism maps Sylow $p$-groups to Sylow $p$-groups
47692
Homomorphic image of a Sylow p-subgroup is Sylow p-subgroup.
78553
A simple finite group $G$ with $n$ p-Sylows is isomorphic to a subgroup of $\mathbb A_n$
126472
Surjective endomorphisms of uniserial modules
1026
Ring homomorphism with $\phi(1_R) \neq1_S$
88930
Homomorphism between free groups
131143
Homomorphism extensions over finite ring extensions
48818
Homomorphism of local rings
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
40069
The image of a homomorphism is a group?
143314
Sylow subgroup of $S_{p^2}$
121244
Homomorphisms and automorphisms on polynomial rings
29736
Sylow Subgroups of a Dihedral Group
45576
A surjective homomorphism between finite free modules of the same rank
129162
Show there is a surjective homomorphism from $\mathbb{Z}\ast\mathbb{Z}$ onto $C_2\ast C_3$
159005
Finding all homomorphisms between two groups - couple of questions
118337
Let $S$ be a normal p-subgroup of a finite group $G$. Prove that $S \subseteq P$ for every Sylow p-subgroup $P$ of $G$
126644
Simple module and homomorphisms