Solvable Subgroups in Prime Rings

DOI10.2307/2043766zbMath0492.16016OpenAlexW4234058459MaRDI QIDQ3953932

Charles Lanski

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043766

zbMATH Keywords

group of unitsprime ringcentresolvable normal subgroupsorder in ring of matricessymmetric units in ring with involution

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Prime and semiprime associative rings (16N60) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Nilpotent and polycyclic-by-finite maximal subgroups of skew linear groups. ⋮ Maximal subgroups of \(\mathrm{SL}_{n}(D)\) ⋮ Invariant additive subgroups in prime rings ⋮ Associative rings ⋮ Locally solvable and solvable-by-finite maximal subgroups of \(\mathrm{GL}_n (D)\)

Cites Work

• Unnamed Item
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• A remark on division rings with involution
• The group of units of a simple ring. I
• Lie structure of prime rings of characteristic 2
• Rings With Involution Whose Symmetric Units Commute

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