Simplicity of augmentation submodules for transformation monoids

29 Apr 2018 Shahzamanian M. H. Steinberg B.

For finite permutation groups, simplicity of the augmentation submodule is equivalent to $2$-transitivity over the field of complex numbers. We note that this is not the case for transformation monoids... (read more)

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Categories


  • COMBINATORICS
  • GROUP THEORY
  • RINGS AND ALGEBRAS
  • REPRESENTATION THEORY