The ideal lattices of the complex group rings of finitary special and general linear groups over finite fields

DOI10.1017/S0305004100072352zbMath0814.16022MaRDI QIDQ4312714

Brian Hartley, Alexander E. Zalesskij

Publication date: 1 December 1994

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

linear representationsmaximal conditionannihilatorscomplex group algebrasspecial linear grouptwo-sided idealspermutation moduletransvection groupsascending union of finite general linear groupsstable finitary general linear group

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25) Limits, profinite groups (20E18)

Related Items (3)

Positive definite functions of finitary isometry groups over fields of odd characteristic. ⋮ Confined subgroups in periodic simple finitary linear groups ⋮ Some results concerning simple locally finite groups of 1-type.

Cites Work

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• The structure of groups of finitary transformations
• Representations of finite classical groups. A Hopf algebra approach
• Some groups generated by transvection subgroups
• Character value estimates for groups of Lie type
• Character value estimates for non-semisimple elements
• The group algebra of the infinite symmetric group
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• Group Rings with Simple Augmentation Ideals

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