Minimal odd order automorphism groups

2009/05/07 by Peter Hegarty, Hegarty, Peter, Desmond MacHale +1
Computer Science · Mathematics · #20D20 #20D45 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20D20 #msc:20D45

paper · pdf · doi:10.48550/arxiv.0905.0993

11 pages, no figures. Manuscript accepted for publication

arxiv created 2009/05/07 · openalex publication_date 2009/05/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that 3⁷ is the smallest order of a non-trivial odd order group which occurs as the full automorphism group of a finite group.

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