Allan L. Edmonds, Zachary B. Norwood
Published 2009-11-06Version 1
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.
On the tensor degree of finite groups
On the maximum number of subgroups of a finite group
On $Π$-supplemented subgroups of a finite group
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