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arXiv · 1405.2385

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

Alice C. Niemeyer·Cheryl E. Praeger
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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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Alice C. Niemeyer, Cheryl E. Praeger. 2014-05-10. Elements in finite classical groups whose powers have large 1-Eigenspaces. https://arxiv.org/abs/1405.2385

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