English

Some nonabelian subgroups of the Nottingham group over F_4

Number Theory 2025-09-24 v1 Group Theory

Abstract

We classify the conjugacy classes of minimally ramified nonabelian subgroups of order 8 in the Nottingham group N(F4)N(F_4). We then use finite automata to give explicit descriptions of representatives for each of these conjugacy classes.

Keywords

Cite

@article{arxiv.2509.18300,
  title  = {Some nonabelian subgroups of the Nottingham group over F_4},
  author = {Kevin Keating},
  journal= {arXiv preprint arXiv:2509.18300},
  year   = {2025}
}