[MD-sorular] Structure theorem for Hamiltonian groups

[Metin Odun]

**A *Dedekind group* is a
group<http://en.wikipedia.org/wiki/Group_%28mathematics%29>
*G* such that every subgroup <http://en.wikipedia.org/wiki/Subgroup> of *G*is
normal <http://en.wikipedia.org/wiki/Normal_subgroup>. All abelian
groups<http://en.wikipedia.org/wiki/Abelian_group>are Dedekind groups.
A non-abelian Dedekind group is called a
*Hamiltonian group*.

*Shown that* every Hamiltonian group is a direct
product<http://en.wikipedia.org/wiki/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 <http://en.wikipedia.org/wiki/Cyclic_group> *C*2, and *D
* is a periodic <http://en.wikipedia.org/wiki/Periodic_group> abelian group
with all elements of odd order.
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