scientific article; zbMATH DE number 822334
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Publication:4856484
zbMath0839.16021MaRDI QIDQ4856484
Publication date: 16 April 1996
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
group algebrasirreducible modulesinfinite simple groupsaugmentation ideallattice of two-sided idealsinductive systemsinfinite locally finite groupslocally finite simple groups of finite type
Periodic groups; locally finite groups (20F50) Simple groups (20E32) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25) Local properties of groups (20E25)
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Invariant ideals and polynomial forms ⋮ Confined subgroups and high transitivity ⋮ Invariant random subgroups of inductive limits of finite alternating groups ⋮ Unnamed Item ⋮ Positive definite functions of finitary isometry groups over fields of odd characteristic. ⋮ Diagonal locally finite Lie algebras and a version of Ado's theorem ⋮ A commutator lemma for confined subgroups and applications to groups acting on rooted trees ⋮ Modular representations of the special linear groups with small weight multiplicities. ⋮ Invariant ideals of abelian group algebras and representations of groups of Lie type ⋮ Confined subgroups in periodic simple finitary linear groups ⋮ Invariant ideals of abelian group algebras under the multiplicative action of a field. I ⋮ Some results concerning simple locally finite groups of 1-type. ⋮ Maximal ideals in modular group algebras of the finitary symmetric and alternating groups ⋮ Asymptotic results on modular representations of symmetric groups and almost simple modular group algebras
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