On central automorphisms of finite p-groups
Abstract
We characterize all finite p-groups G of order p^n(n\leq 6), where p is a prime for n\leq 5 and an odd prime for n = 6, such that the center of the inner automorphism group of G is equal to the group of central automorphisms of G.
- Publication:
-
arXiv e-prints
- Pub Date:
- May 2011
- DOI:
- 10.48550/arXiv.1105.6172
- arXiv:
- arXiv:1105.6172
- Bibcode:
- 2011arXiv1105.6172G
- Keywords:
-
- Mathematics - Group Theory;
- 20D45;
- 20D15
- E-Print:
- version 2. To appear in Communications in Algebra