Dear Forum,
  Let F be  a finite field of order p and V be a vector space over F  of 
dimension n. Choose a,b belong to GL(n,F) and G=<a,b>, the group generated by a 
and b. Then V may be viewed as an F[G]-module.
  For any element v of  V, how to compute the order of the centralizer of v in 
G ?
Best wishes,
Yang Liu.
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