The \(E_ 2(R)\)-normalized subgroups of \(\text{GL}_ 2(R)\)

DOI10.1016/S0021-8693(05)80016-XzbMath0827.20058MaRDI QIDQ1891504

Anne Pilkington

Publication date: 3 December 1995

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

zbMATH Keywords

unitsidealscommutative ringsstandard subgroupsinfinitely many unitsarithmetic Dedekind domainsDedekind domain of arithmetic typeradixsubgroups of two-dimensional general linear groups normalized by elementary matrices

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25)

Related Items (1)

Linear groups over general rings. I: Generalities.

Cites Work

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• On the normal subgroups of GL(2,A)
• On the normal subgroups of SL(2,A)
• The \(E(2,A)\) sections of \(SL(2,A)\)
• Sur Les Sous-Groupes Normaux De SL₂ Sur Un Anneau Local
• Standard subgroups of GL₂(A)
• ON THE GROUPSL₂OVER DEDEKIND RINGS OF ARITHMETIC TYPE
• Two-Dimensional Linear Groups Over Local Rings
• Introduction to Algebraic K-Theory. (AM-72)
• Number fields

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