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

DOI10.1007/s00025-023-01984-6zbMath1523.12005MaRDI QIDQ6136254

Detlef Gröger

Publication date: 29 August 2023

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

zbMATH Keywords

locally compact near-fieldsdivision algebras over local fields\( \mathfrak{p} \)-adic division algebrasfinite groups of inner automorphisms

Mathematics Subject Classification ID

Near-rings (16Y30) Algebras and orders, and their zeta functions (11S45) Near-fields (12K05)

Cites Work

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• Finite multiplicative subgroups in division rings
• Sharply Transitive Linear Groups and Nearfields over p-adic Fields
• U1-Konjugationsklassen in lokalen Divisionsalgebren
• The Norm 1 Group of -Adic Division Algebra
• Finite-Dimensional Division Algebras over Fields

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