ABSTRACT
When does a finite group possess a non-trivial outer automorphism? In this paper for a finite -nilpotent group
we shall prove the following results.
a. | If | ||||
b. | If |
ACKNOWLEDGMENTS
The author wishes to express his gratitude to Professor Xiuyun Guo for many helpful and stimulating conversations during the course of this work. Also, the author is very grateful to Professor Derek J.S. Robinson for good suggestions about the modification of the paper and for giving the simplified proofs of Lemma 4.1 and Theorem A in this paper.