Elements in finite classical groups whose powers have large 1-Eigenspaces
Alice C. Niemeyer, Cheryl E. Praeger
Abstract
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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