Finite groups with many involutions

Mathematics – Group Theory

Scientific paper

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Scientific paper

It is shown that a finite group in which more than 3/4 of the elements are
involutions must be an elementary abelian 2-group. A group in which exactly 3/4
of the elements are involutions is characterized as the direct product of the
dihedral group of order 8 with an elementary abelian 2-group.

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