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Irreducible group

  1. Apr 12, 2008 #1
    What is the definition of an irreducible group. The context is that I have some theorem talking about "an irreducible cyclic subgroup of GL(n,F)". Is it one that can't be written as a product of two other subgroups in a non-trivial way?
  2. jcsd
  3. Apr 16, 2008 #2


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    A (semi)group of matrices is said to be irreducible if it has no nontrivial invariant subspaces. At least that's one definition of the word. Does it apply to your case?
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