$IA$-automorphisms of $p$-groups, finite polycyclic groups and other results

Authors

  • R. G. Ghumde Department of Mathematics, Ramdeobaba College of Engineering & Management, Nagpur, India 440013 Author
  • S. H. Ghate Department of Mathematics, R.T.M. Nagpur University, Nagpur, India 440033 Author

Keywords:

Central automorphism, $IA$-automorphism, $p$-groups

Subjects:

20D45, 20D10, 20D15

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 additionto proving some basic results. We also prove some results analogous to a result by Schur and a weak formof its converse in the context of $IA$-automorphisms.

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Published

2015-07-15

Issue

Vol. 67 No. 3 (2015): Vol. 67, Issue 3

Section

Articles

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Copyright (c) 2015 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.