Semigroup identities on units of group algebras

DOI10.1007/BF01199058zbMath0780.16026OpenAlexW2036855356MaRDI QIDQ1193271

Arnaldo Mandel, Jairo Z. Goncalves

Publication date: 27 September 1992

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199058

zbMATH Keywords

group algebragroup of unitsfree subgroupnormal nilpotent subgroupsemigroup identity\(p\)-group of bounded exponentFC-subgroup

Mathematics Subject Classification ID

Varieties and pseudovarieties of semigroups (20M07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free semigroups, generators and relations, word problems (20M05) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Units, groups of units (associative rings and algebras) (16U60)

Related Items (8)

Group and polynomial identities in group rings ⋮ Group identities on units of rings ⋮ Unnamed Item ⋮ Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ Group algebras whose units satisfy a group identity ⋮ Group algebras whose units satisfy a Laurent polynomial identity ⋮ Semigroup identities on units of integral group rings ⋮ Identities on units of algebraic algebras

Cites Work

• Bounding the number of generators of a polycyclic group
• Group rings with units torsion over the centre
• The Burnside problem
• Group rings satisfying a polynomial identity
• On Free Subsemigroups of Skew Fields
• Invariant Measures and Growth Conditions
• Unnamed Item
• Unnamed Item
• Unnamed Item

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