IA-automorphisms of finite p-groups

We characterize all finite [Formula: see text]-groups [Formula: see text] of class [Formula: see text] for which [Formula: see text] or [Formula: see text], where [Formula: see text] denotes the group of all automorphisms of [Formula: see text] that induce the identity automorphism on [Formula: see text].

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2025-12-20
DOI
https://doi.org/10.1142/s0219498827501222
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
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article

IA-automorphisms of finite p-groups

Mehdi Shabani-Attar, Rohit Garg
Journal of Algebra and Its Applications
Finite Group Theory Research
article

IA-automorphisms of finite p-groups

Mehdi Shabani-Attar, Rohit Garg
article en

Abstract

We characterize all finite [Formula: see text]-groups [Formula: see text] of class [Formula: see text] for which [Formula: see text] or [Formula: see text], where [Formula: see text] denotes the group of all automorphisms of [Formula: see text] that induce the identity automorphism on [Formula: see text].

Journal of Algebra and Its Applications
Thapar Institute of Engineering & Technology (IN), Payame Noor University (IR)
Reduced inequalities
Openalex Percentile: Top 20%
Finite Group Theory Research
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IA-automorphisms of finite p-groups — Mehdi Shabani-Attar, Rohit Garg · Journal of Algebra and Its Applications (2025) | TGRS Research Map | TGRS