On the Solvability of Unit Groups of Group Algebras

DOI10.2307/1995832zbMath0218.20006OpenAlexW4237693396MaRDI QIDQ5622417

James M. Bateman

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/1995832

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18)

Related Items (16)

Some identities on twisted group algebras ⋮ Notes on the history of identities on group (and loop) algebras ⋮ Group and polynomial identities in group rings ⋮ Unnamed Item ⋮ Group algebras of periodic groups of a solvable multiplicative group ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ Group rings with solvable unit groups of minimal derived length. ⋮ The Baer condition for group algebras ⋮ Meta-abelian unit groups of group algebras are usually abelian ⋮ On the derived length of the unit group of a group algebra ⋮ Nilpotent elements in group rings ⋮ Alternative loop rings with solvable unit loops ⋮ Isomorphic group rings of direct products ⋮ Group rings with metabelian unit groups ⋮ Wreath Products and Representations of Degree One or Two ⋮ Mod \(2\) group algebras with metabelian unit groups

Cites Work

• Finite Abelian groups with isomorphic group algebras
• On the Modular Group Ring of a p-Group
• Group Algebras with Nilpotent Unit Groups
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