Definition:Hamiltonian Group
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Definition
A group $G$ is described as Hamiltonian if and only if $G$ is a non-abelian group such that every subgroup is normal.
Also see
- Results about Hamiltonian groups can be found here.
Source of Name
This entry was named for William Rowan Hamilton.
Sources
- 1971: Allan Clark: Elements of Abstract Algebra ... (previous) ... (next): Chapter $2$: Conjugacy, Normal Subgroups, and Quotient Groups: $\S 46 \iota$