Abstract
Let G be a finite p-group of nilpotency class 2. We find necessary and sufficient conditions on G such that each central automorphism of G fixes the center of G element-wise.
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ACKNOWLEDGMENTS
I thank Prof. E. C. Dade for some useful discussion and the referee for his/her useful comments and suggestions.
Research supported by DST (SERC Division), the Govt. of India.
Notes
Communicated by S. Sehgal.