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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(More)
DEDICATION To my mother To soul my father To soul my friend No'maan Alomari ii ACKNOWLEDGEMENTS First of all, I would like to express my deepest sincere gratitude to my advisor, Professor Gang George Yin for giving me the chance to work on his interesting research. His energy and enthusiasm have been a constant source of motivation for me. It has a great(More)
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