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Elements in finite classical groups whose powers have large 1-Eigenspaces
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classification
math.GR
keywords
classicalfinitegroupselementslargeactsalgorithmicallyalgorithms
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We estimate the proportion of several classes of elements in finite classical groups which are readily recognised algorithmically, and for which some power has a large fixed point subspace and acts irreducibly on a complement of it. The estimates are used in complexity analyses of new recognition algorithms for finite classical groups in arbitrary characteristic.
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