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arXiv:1405.2385 [math.GR]AbstractReferencesReviewsResources

Elements in finite classical groups whose powers have large 1-Eigenspaces

Alice C. Niemeyer, Cheryl E. Praeger

Published 2014-05-10Version 1

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.

Categories: math.GR
Subjects: 20G40, 20P05
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