Affiliation:
1. School of Mathematics and Computer Applications, Thapar University, Patiala 147 004, India
Abstract
An automorphism of a group G is called an IA-automorphism if it induces the identity automorphism on the abelianized group G/G′. Let IA (G) denote the group of all IA-automorphisms of G. We classify all finitely generated nilpotent groups G of class 2 for which IA (G) ≃ Inn (G). In particular, we classify all finite nilpotent groups of class 2 for which each IA-automorphism is inner.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
5 articles.
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