Subgroups ofGL1(R) for Local RingsR

DOI10.1081/AGB-120029911zbMath1072.16027OpenAlexW2076402463MaRDI QIDQ3155522

M. Mahdavi-Hezavehi, Aderemi O. Kuku

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1081/agb-120029911

zbMATH Keywords

maximal subgroupssubnormal subgroupsgroups of unitsdivision ringsnoncommutative local rings

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Maximal subgroups (20E28) Chains and lattices of subgroups, subnormal subgroups (20E15) Finite-dimensional division rings (16K20) Units, groups of units (associative rings and algebras) (16U60)

Cites Work

• Maximal subgroups of \(\text{GL}_1(D)\)
• Finitely generated subnormal subgroups of \(\text{GL}_n(D)\) are central
• Free subgroups in maximal subgroups of \(\text{GL}_1(D)\)

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