Construction of locally compact nearfields

DOI10.1007/s00022-018-0417-3zbMath1434.12008OpenAlexW2791316917MaRDI QIDQ1754391

Detlef Gröger

Publication date: 30 May 2018

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-018-0417-3

zbMATH Keywords

local fieldslocally compact nearfields

Mathematics Subject Classification ID

Near-fields (12K05)

Related Items (2)

On crossed homomorphisms and the construction of a new class of locally compact Dickson nearfields ⋮ Construction of locally compact near-fields from \(\mathfrak{p}\)-adic division algebras

Cites Work

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• Konstruktion lokalkompakter Fastkörper. (Construction of locally compact nearfields)
• Eine Klasse topologischer Fastkörperebenen
• Zur Konstruktion lokal kompakter Dicksonscher Fastkörper. (On the construction of locally compact Dickson near-fields)
• Lokalkompakte Fastkörper. (Locally compact nearfields)
• Spezielle Translationsebenen und ihre Homomorphismen
• Planar-topological near-fields
• Infinite Dickson near-fields
• Gruppenkopplungen mit zyklischer Ausgangsgruppe bzw. zyklischer Ableitung. (Group couplings with cyclic starting group resp. cyclic derivation)
• Die Bestimmung aller stetigen Fastkörper über dem Körper der reellen Zahlen als Grundkörper
• Sharply Transitive Linear Groups and Nearfields over p-adic Fields

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