Locally solvable unit group of crossed products

DOI10.1080/00927872.2020.1784911zbMath1459.16015OpenAlexW3038940719MaRDI QIDQ5124600

Mai Hoang Bien, Mojtaba Ramezan-Nassab

Publication date: 30 September 2020

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1784911

zbMATH Keywords

division ringLie nilpotentskew group ringtwisted group ring

Mathematics Subject Classification ID

Group rings (16S34) Infinite-dimensional and general division rings (16K40) Twisted and skew group rings, crossed products (16S35) Identities other than those of matrices over commutative rings (16R40)

Related Items

Some identities on twisted group algebras ⋮ ON ENGEL QUASI-NORMAL SUBGROUP IN DIVISION RINGS WITH UNCOUNTABLE CENTER

Cites Work

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• Lie properties of crossed products.
• Multiplicative commutators in division rings
• Some properties on rings with units satisfying a group identity
• On units of twisted group algebras
• Group identities on units and symmetric units of group rings.
• FREE SUBGROUPS IN THE GROUP OF UNITS OF A TWISTED GROUP ALGEBRA
• Group Algebras with Locally Nilpotent Unit Groups
• RINGS SATISFYING GENERALIZED ENGEL CONDITIONS
• GROUP ALGEBRAS WHOSE UNIT GROUP IS LOCALLY NILPOTENT
• Free Groups in Subnormal Subgroups and the Residual Nilpotence of the Group of Units of Groups Rings
• Locally soluble skew linear groups
• Group algebras with units satisfying a group identity
• Group algebras with units satisfying a group identity II
• Group algebras whose units satisfy a group identity
• TWISTED GROUP ALGEBRAS SATISFYING A GENERALIZED POLYNOMIAL IDENTITY