Hamiltonian Groups

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2 total messages Started by Jack McKinney Mon, 28 Sep 1992 20:09

#106

Author: Jack McKinney
Date: Mon, 28 Sep 1992 20:09

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    Can someone provide me with a list of some Hamiltonian groups?
[A Hamiltonian group is a nonabelian group such that every subgroup
is normal].

+--------------------------------------------------------+--------------------+
| Martin: Have we done this before?                      | Jack McKinney      |
| Halsey: Are we doing this now?    -from Brain Dead     | jmckinney@tamu.edu |
+--------------------------------------------------------+--------------------+

Re: Hamiltonian Groups

#112

Author: Werner Nickel
Date: Tue, 29 Sep 1992 15:59

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>From M.Hall, Jr., The Theory of Groups, p. 190:

Theorem 12.5.4   A Hamiltonian group is the direct product of a
quaternion group with an Abelian group in which every element is
of finite odd order and an Abelian group of exponent 2.

Werner Nickel
Mathematics Research Section
Australian National University

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