Simple modules as submodules and quotients of symmetric powers

János Kollár, Pham Huu Tiep

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be any finite group, F any field, and V any finite-dimensional, faithful FG-module. If W is any irreducible FG-module, we show that there is an integer 1≤m≤|G| (depending on W) such that, for any integer k≥0, W is both a submodule and a quotient of Symm+k|G|(V).

Original languageEnglish (US)
Pages (from-to)286-291
Number of pages6
JournalJournal of Algebra
Volume657
DOIs
StatePublished - Nov 1 2024

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Irreducible representations
  • Symmetric powers

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