The aim of this work is the construction of a new class of disconnected locally compact near-fields. They are all Dickson near-fields and derived from finite-dimensional division algebras over local fields by means of strong couplings with a finite Abelian Dickson group consisting of inner automorphisms.

中文翻译：

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从 $$\mathfrak {p}$$-Adic Division 代数构造局部紧近场

这项工作的目的是构建一类新的不连续局部紧凑近场。它们都是 Dickson 近场，并通过与由内自同构组成的有限阿贝尔 Dickson 群的强耦合从局部域上的有限维除法代数导出。