Abstract
We obtain certain results on a finite p-group whose central automorphisms are all class preserving. In particular, we prove that if G is a finite p-group whose central automorphisms are all class preserving, then d(G) is even, where d(G) denotes the number of elements in any minimal generating set for G. As an application of these results, we obtain some results regarding finite p-groups whose automorphisms are all class preserving.
2010 Mathematics Subject Classification:
ACKNOWLEDGMENTS
I thank Prof. Everett C. Dade for some useful e-mail discussion during the year 2008. Example 2 above is due to him.
Notes
Communicated by S. Sehgal.