On \(\textrm{K}_1\)-stability of the relative DSER elementary orthogonal group

IF 0.5 4区数学 Q2 MATHEMATICS

Journal of Homotopy and Related Structures Pub Date : 2026-02-24 DOI:10.1007/s40062-026-00402-2

A. A. Ambily, Gayathry Pradeep

引用次数: 0

Abstract

In this paper, we study the stabilization map on the relative Dickson-Siegel-Eichler-Roy (DSER) elementary orthogonal group. We obtain two bounds for the hyperbolic rank of the underlying quadratic space such that the stabilization map on \(\textrm{K}_1\)- analogue of the relative DSER elementary orthogonal group becomes an isomorphism and a monomorphism.

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相对DSER初等正交群的\(\textrm{K}_1\) -稳定性

本文研究了相对Dickson-Siegel-Eichler-Roy （DSER）初等正交群上的稳定映射。我们得到了底层二次空间的双曲秩的两个界，使得相对DSER初等正交群的\(\textrm{K}_1\) -模拟上的稳定映射成为同构和单态。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures MATHEMATICS-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.