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Modular group rings of the finitary symmetric group

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Publication:677436
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DOI10.1007/BF02937325zbMath0874.16020MaRDI QIDQ677436

Alexander E. Zalesskij

Publication date: 25 September 1997

Published in: Israel Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

group algebrasprime idealsgroup ringsannihilatorsYoung diagramsinduced modulestwo-sided idealsfinitary symmetric groups


Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Ideals in associative algebras (16D25) Subgroups of symmetric groups (20B35)


Related Items

Branching rules for two row partitions and applications to the inductive systems for symmetric groups ⋮ Maximal ideals in modular group algebras of the finitary symmetric and alternating groups



Cites Work

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  • The group algebra of the infinite symmetric group
  • Mumford's conjecture for the general linear group
  • The content of a Young diagram
  • The centres of symmetric group rings
  • TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
  • On the Degrees and Rationality of Certain Characters of Finite Chevalley Groups
  • SOME INFINITE PERMUTATION MODULES
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