https://hal.inria.fr/hal-01179225Niemeyer, AliceAliceNiemeyerSchool of Mathematics and Statistics [Crawley, Perth] - UWA - The University of Western AustraliaLehrsthul D für Mathematik [Aachen] - RWTH - Rheinisch-Westfälische Technische Hochschule AachenPraeger, CherylCherylPraegerSchool of Mathematics and Statistics [Crawley, Perth] - UWA - The University of Western AustraliaKing Abdulazziz UniversityElements in finite classical groups whose powers have large 1-EigenspacesHAL CCSD2014Discrete Mathematics20G4020P05[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]Lowinger, Hélène2015-07-22 09:15:412018-03-03 01:04:572015-07-22 09:17:34enJournal articleshttps://hal.inria.fr/hal-01179225/document10.46298/dmtcs.39081We 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.