Single conjugacy classes of isometries in orthogonal groups over local fields

Fuente: arXiv
Saved in:
Bibliographic Details
Main Authors: Xu, Fei, Zhang, Bo
Format: Preprint
Published: 2026
Subjects:
Online Access:
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1866908849807556608
author Xu, Fei
Zhang, Bo
author_facet Xu, Fei
Zhang, Bo
contents All isometries $σ$ in a quadratic space over a non-archimedean local field of characteristic not 2 satisfying that any isometry $τ$ which is conjugate to $σ$ in the general linear group is conjugate to $σ$ in the orthogonal group are determined. This extends \cite[Theorem 2.1]{Mil} to arbitary cases.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20481
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Single conjugacy classes of isometries in orthogonal groups over local fields
Xu, Fei
Zhang, Bo
Number Theory
All isometries $σ$ in a quadratic space over a non-archimedean local field of characteristic not 2 satisfying that any isometry $τ$ which is conjugate to $σ$ in the general linear group is conjugate to $σ$ in the orthogonal group are determined. This extends \cite[Theorem 2.1]{Mil} to arbitary cases.
title Single conjugacy classes of isometries in orthogonal groups over local fields
topic Number Theory
url https://arxiv.org/abs/2602.20481