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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)
We give a short argument ,that certain modular Lie algebras have sur prisingly large automorphism groups.
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)
Kong, Xianfen, "Genus 0, 1, 2 actions of some almost simple groups of lie rank 2" (2011). Wayne State University Dissertations. Paper 245. Advisor Date DEDICATION To my Father and Mother ii ACKNOWLEDGMENTS I would like to express my appreciation and gratitude to my advisor Dr. Daniel Frohardt for his help and encouragement in both my academic and daily… (More)