Skip to Main content Skip to Navigation
Journal articles

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

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download

https://hal.inria.fr/hal-01179225
Contributor : Hélène Lowinger <>
Submitted on : Wednesday, July 22, 2015 - 9:15:41 AM
Last modification on : Saturday, March 3, 2018 - 1:04:57 AM
Long-term archiving on: : Friday, October 23, 2015 - 10:25:59 AM

File

dmtcs-16-1-18.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-01179225, version 1

Collections

Citation

Alice Niemeyer, Cheryl Praeger. Elements in finite classical groups whose powers have large 1-Eigenspaces. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2014, Vol. 16 no. 1 (in progress) (1), pp.303--312. ⟨hal-01179225⟩

Share

Metrics

Record views

896

Files downloads

1434