Abelian Groups, Homomorphisms and Central Automorphisms of Nilpotent Groups
Ayan Mahalanobis

TL;DR
This paper establishes a precise condition under which finite nilpotent groups possess an abelian group of central automorphisms, advancing understanding of automorphism structures in group theory.
Contribution
It provides a necessary and sufficient criterion for finite nilpotent groups to have abelian central automorphism groups, a novel characterization in the field.
Findings
Derived a necessary and sufficient condition for abelian central automorphism groups
Enhanced understanding of automorphism structures in finite nilpotent groups
Contributed to classification criteria in group theory
Abstract
In this paper we find a necessary and sufficient condition for a finite nilpotent group to have an abelian central automorphism group.
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Taxonomy
TopicsCoding theory and cryptography · Finite Group Theory Research · Rings, Modules, and Algebras
