Finite p-groups whose absolute central automorphisms are inner

Sandeep Insan Singh; Deepak Kumar Gumber

Vol. 20 No. 2 (2015)

Regular Articles

Finite p-groups whose absolute central automorphisms are inner

Published 2015-07-18

Sandeep Insan Singh
Deepak Kumar Gumber

Sandeep Insan Singh
School of Mathematics and Computer Applications , Thapar University Patiala, Pin 147004. India

Deepak Kumar Gumber
School of Mathematics and Computer Applications, Thapar University, Patiala

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Abstract

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.

Keywords

Absolute central automorphism, Nilpotent group

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