Construction of locally compact near-fields from \(\mathfrak{p}\)-adic division algebras

DOI10.1007/s00025-020-01290-5zbMath1480.12008OpenAlexW3093760405MaRDI QIDQ2210830

Detlef Gröger

Publication date: 8 November 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01290-5

zbMATH Keywords

Dickson near-fieldcoupling mapdivision algebra over local fieldlocally compact near-field

Mathematics Subject Classification ID

Algebras and orders, and their zeta functions (11S45) Near-fields (12K05)

Related Items (1)

A class of locally compact near-fields constructed from \(\mathfrak{p} \)-adic division algebras

Cites Work

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• On crossed homomorphisms and the construction of a new class of locally compact Dickson nearfields
• Construction of locally compact nearfields
• Infinite Dickson near-fields
• Die Bestimmung aller stetigen Fastkörper über dem Körper der reellen Zahlen als Grundkörper
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• U1-Konjugationsklassen in lokalen Divisionsalgebren
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• The Norm 1 Group of -Adic Division Algebra
• Finite-Dimensional Division Algebras over Fields

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