Grassmannian Fixed Point Ratios
نویسنده
چکیده
We provide estimates for the xed point ratios in the permutation representations of a nite classical group over a eld of order q on k-subspaces of its natural n-dimensional module. For suuciently large n each element must either have a negligible ratio or act linearly with a large eigenspace. We obtain an asymptotic estimate in the latter case, which in most cases is q ?dk where d is the codimension of the large eigenspace. We also obtain more speciic results that are applicable to the monodromy conjecture of Guralnick and Thompson.
منابع مشابه
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