Some results of cohomological properties of p-group and non-inner automorphism with order p on non-abelian finite p-group

2025/12/23 by Wei Xu, Xu, Wei
Mathematics · #20D15 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.48550/arxiv.2512.20048

openalex publication_date 2025/12/23 · openalex created_date 2025/12/25 · openalex updated_date 2026/07/28

Abstract

Any non-abelian finite p-group has a non-inner automorphism of order p.

Citations

• Non-inner automorphisms of order p in finite p-groups of coclass 3
• Powerful p-groups have noninner automorphisms of order p and some cohomology

Related

• On the non-inner automorphism conjecture of finite p-groups
• Non-inner automorphisms of order p in finite p-groups of coclass 3
• Non-inner automorphisms of order p in finite p-groups of coclass 4 and coclass 5
• A cohomological property of semi-abelian p-groups
• Powerful p-groups have noninner automorphisms of order p and some cohomology