The automorphism group of a near-ring
Author: S. D. Scott
Journal: Proc. Amer. Math. Soc. 80 (1980), 560-562
MSC: Primary 16A76; Secondary 20F28
MathSciNet review: 587927
Abstract: As for groups certain automorphisms of a near-ring N may be regarded as inner. The inner automorphisms of N form a normal subgroup of the automorphism group of N.
Let V be a group, the automorphism group of V, and N the near-ring of maps of V into V generated by . It is shown that if is a complete group (see [2, p. 94]), then it frequently happens that the automorphisms of N are all inner. Using this result the automorphism groups of certain near-rings may be found.