On equality of inner and absolute central automorphisms

2019/03/11 by Zahra Kaboutari Farimani, Farimani, Z. Kaboutari, Mohammad Mehdi Nasrabadi +1
Mathematics · #20D15 #20D45 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.1903.04139

openalex publication_date 2019/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite p-group and let Aut_l(G) be the group of absolute central automorphisms of G. We give necessary and sufficient conditions on G such that Aut_l(G) = Inn(G).

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