Finite groups with a prescribed number of cyclic subgroups

Richard Belshoff, Missouri State University
Joe Dillstrom, MSU Graduate Student
Les Reid, Missouri State University

Abstract

Marius Tărnăuceanu described the finite groups G having |G| -1 cyclic subgroups. We describe the finite groups G having |G| - ∆ cyclic subgroups for ∆= 2, 3, 4, and 5.