MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
$IA$-automorphisms of $p$-groups, finite polycyclic groups and other results
R. G. Ghumde and S. H. Ghate

Abstract

In this paper, the group $IA(G)$ of all $IA$-automorphisms of a group $G$ is studied. We prove some results regarding non-triviality, polycyclicity and commutativity of $IA(G)$ in addition to proving some basic results. We also prove some results analogous to a result by Schur and a weak form of its converse in the context of $IA$-automorphisms.

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Keywords: Central automorphism; $IA$-automorphism; $p$-groups.

MSC: 20D45, 20D10, 20D15

Pages:  194$-$200     

Volume  67 ,  Issue  3 ,  2015