Subnormal subgroups of p-adic division algebras

DOI10.1016/0021-8693(81)90349-5zbMath0496.16021OpenAlexW2022293281MaRDI QIDQ1170332

Gary R. Greenfield

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90349-5

zbMATH Keywords

centersubnormal subgroupnoncentral normal subgroupfinite dimensional division ringnoncentral subgroup

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Units, groups of units (associative rings and algebras) (16U60) Division rings and semisimple Artin rings (16Kxx)

Related Items (2)

On normal subgroups of the unit group of a quaternion algebra over a Pythagorean field ⋮ Subnormal subgroups and self-invariant maximal subfields in division rings

Cites Work

• A Generalization of the Cartan-Brauer-Hua Theorem
• Subnormal Subgroups of Division Rings
• A Note on Subnormal Subgroups of Division Algebras
• The Norm 1 Group of -Adic Division Algebra
• A Generalization of the Cartan-Brauer-Hua Theorem
• On a theorem of H. Cartan

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