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New posts in hopfian-groups
Can you always find a surjective endomorphism of groups such that it is not injective?
abstract-algebra
group-theory
hopfian-groups
Let $G$ be a finite group and $H\triangleleft G$ a normal subgroup. Prove that $|G/H| =|G|$ if, and only if, $H = \{e\}$.
abstract-algebra
group-theory
hopfian-groups
(Non-Hopfian) groups that only have quotients that are themselves or the trivial group.
group-theory
axiom-of-choice
hopfian-groups
If $G$ is a group and $N$ is a nontrivial normal subgroup, can $G/N \cong G$? [duplicate]
abstract-algebra
group-theory
examples-counterexamples
hopfian-groups
Sort-of-simple non-Hopfian groups
group-theory
simple-groups
hopfian-groups
When can a pair of groups be embedded in each other?
abstract-algebra
group-theory
hopfian-groups
An example of a residually finite group which is not Hopf
group-theory
geometric-group-theory
hopfian-groups
Does $G\cong G/H$ imply that $H$ is trivial?
group-theory
examples-counterexamples
quotient-group
hopfian-groups
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