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Let  G  denote the projective special linear group PSL(2,  q ), for a prime power  q . It is shown that a finite 2-subgroup of the group V(ℤ G ) of augmentation 1 units in the integral group ring ℤ G  of  G  is isomorphic to a subgroup of  G . Furthermore, it is shown that a composition factor of a finite subgroup of V(ℤ G ) is isomorphic to a subgroup of  G .

Finite groups of units and their composition factors in the integral group rings of the groups PSL(2, q )