Group algebras with units satisfying an Engel identity

DOI10.1007/BF02904264zbMath1008.16027MaRDI QIDQ1851401

David M. Riley

Publication date: 17 December 2002

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

group algebrasnilpotent groupsperiodic groupsunit groupsEngel identities

Mathematics Subject Classification ID

Group rings (16S34) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Engel conditions (20F45) Units, groups of units (associative rings and algebras) (16U60)

Related Items (5)

Permutable subgroups in \(\mathrm{GL}_n (D)\) and applications to locally finite group algebras ⋮ GROUP ALGEBRAS WITH ENGEL UNIT GROUPS ⋮ ON ENGEL QUASI-NORMAL SUBGROUP IN DIVISION RINGS WITH UNCOUNTABLE CENTER ⋮ Some algebraic algebras with Engel unit groups ⋮ Additive mappings and identities on unit groups of algebraic algebras

Cites Work

• Nonmatrix varieties and nil-generated algebras whose units satisfy a group identity
• Group algebras with units satisfying a group identity
• Group algebras with units satisfying a group identity II
• Associative rings satisfying the Engel condition
• Algebras with Collapsing Monomials
• Group algebras whose units satisfy a group identity
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