Normal equals strongly image-potentially characteristic
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This article gives a proof/explanation of the equivalence of multiple definitions for the term normal subgroup
View a complete list of pages giving proofs of equivalence of definitions
- is a normal subgroup of .
- is a strongly image-potentially characteristic subgroup of in the following sense: there exists a group and a surjective homomorphism such that both the kernel of and are characteristic subgroups of .
- NPC theorem
- NRPC theorem
- Finite NPC theorem
- Finite NIPC theorem
- Fact about amalgam-characteristic subgroups: finite normal implies amalgam-characteristic, periodic normal implies amalgam-characteristic, central implies amalgam-characteristic