Integral spinor norm groups over dyadic local fields.
type: Item
instance of: scholarly article
title: Integral spinor norm groups over dyadic local fields.
zbMATH Open document ID: 1036.11013
DOI: 10.1016/S0022-314X(03)00057-X
author: Constantin N. Beli
published in: Journal of Number Theory
publication date: 2003-08-20T00:00:00Z
review text: It is well-known that the arithmetic theory of orthogonal groups over dyadic local fields is much more difficult than that over non-dyadic local fields. There are two main reasons for this. (1) The Jordan decomposition of lattices is not unique. (2) The orthogonal basis of lattices does not always exist. In this paper, the author computes the integral spinor norms of integral orthogonal groups over dyadic local fields. In order to overcome the difficulty (2), the author introduces so called BONGs and formulates the results in terms of BONGs. Such computation is also based on several previous works including generation problem for integral orthogonal groups.
Mathematics Subject Classification ID: 11E08
zbMATH DE Number: 1967965
zbMATH Keywords: Quadratic forms
zbMATH Keywords: Dyadic fields
zbMATH Keywords: Spinor norms
zbMATH Keywords: BONGs
reviewed by: Fei Xu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1967965