Finite p-groups whose absolute central automorphisms are inner

Sandeep Insan Singh, Deepak Kumar Gumber


Nasrabadi and Farimani [Indag. Math. (N. S.) 26(2015), 137-141] have given necessary and sufficient conditions for a fnite autonilpotent p-group of class 2 such that all absolute central automorphisms are inner. We generalize this result of Nasrabadi and Farimani to arbitrary fnite p-groups.


Absolute central automorphism, Nilpotent group

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ISSN: 1331-0623 (Print), 1848-8013 (Online)