| Hamiltonian Group |
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| CATEGORIES ABOUT HAMILTONIAN GROUP | |
| group theory | |
| properties of groups | |
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All Abelian Group s are Dedekind groups. A non-abelian Dedekind group is called a Hamiltonian group, after William Rowan Hamilton . The most familiar (and smallest) example of a Hamiltonian group is the Quaternion Group of order 8, denoted by ''Q''8. It can be shown that every Hamiltonian group is a Direct Product of the form ''G'' = ''Q''8 × ''B'' × ''D'', where ''B'' is the direct sum of some number of copies of the Cyclic Group ''C''2, and ''D'' is a Periodic abelian group with all elements of odd order. |
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