scientific article

zbMath0774.16012MaRDI QIDQ4016459

Alexander E. Zalesskij

Publication date: 16 January 1993

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

irreducible charactersgroup ringsmaximal conditionirreducible representationscharacteristic zerocharacter valuessimple groups of Lie typelattice of two-sided idealssimple locally finite groupsconfined subgroupsinductive systemsmaximal condition for idealsdirect limits of finite special linear groupssimple augmentation idealstower of finite subgroups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Simple groups: alternating groups and groups of Lie type (20D06) Representations of finite groups of Lie type (20C33) Ideals in associative algebras (16D25) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (3)

Diagonal locally finite Lie algebras and a version of Ado's theorem ⋮ Modular representations of the special linear groups with small weight multiplicities. ⋮ Confined subgroups in periodic simple finitary linear groups

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