Some hereditarily just infinite subgroups of the Nottingham Group

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dc.creatorGriffin, Cornelius
dc.date2002-09-16
dc.date.accessioned2026-07-07T04:50:54Z
dc.date.available2026-07-07T04:50:54Z
dc.descriptionThis work examines the commutator structure of some closed subgroups of the wild group of automorphisms of a local field with perfect residue field, a group we call $\Cal J.$ In particular, we establish a new approach to evaluating commutators in $\Cal J$ and using this method investigate the normal subgroup structure of some classes of index subgroups of $\Cal J$ as introduced by Klopsch. We provide new proofs of Fesenko\rq s results that lead to a proof that the torsion free group $T =\{t+\sum_{k\geq 1} a_kt^{qk+1}: a_k \in \Bbb F_p\}$ is hereditarily just infinite, and by extending his work, we also demonstrate the existence of a new class of hereditarily just infinite subgroups of $\Cal J$ which have non-trivial torsion.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0209193
dc.identifierhttp://arxiv.org/abs/math/0209193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64960
dc.subjectGroup Theory
dc.subject20E18
dc.titleSome hereditarily just infinite subgroups of the Nottingham Group
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