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

Alice C. Niemeyer; Cheryl E. Praeger

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

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arxiv 1405.2385 v1 pith:P4KHVJPZ submitted 2014-05-10 math.GR

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

Alice C. Niemeyer , Cheryl E. Praeger This is my paper

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.

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

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