Some nonabelian subgroups of the Nottingham group over F₄

2025/09/22 by Kevin Keating, Keating, Kevin
Mathematics · #11B85 (Primary) 11S15 #20E18 #20E45 #20F10 (Secondary) #Advanced Combinatorial Mathematics #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2509.18300

openalex publication_date 2025/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify the conjugacy classes of minimally ramified nonabelian subgroups of order 8 in the Nottingham group N(F₄). We then use finite automata to give explicit descriptions of representatives for each of these conjugacy classes.

Citations

• Upper ramification sequences of nonabelian extensions of degree p³ in characteristic p
• Automata and finite order elements in the Nottingham group

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