Involution centralisers in finite unitary groups of odd characteristic
MetadataShow full item record
Altmetrics Handle Statistics
Altmetrics DOI Statistics
We analyse the complexity of constructing involution centralisers in unitary groups over fields of odd order. In particular, we prove logarithmic bounds on the number of random elements required to generate a subgroup of the centraliser of a strong involution that contains the last term of its derived series. We use this to strengthen previous bounds on the complexity of recognition algorithms for unitary groups in odd characteristic. Our approach generalises and extends two previous papers by the second author and collaborators on strong involutions and regular semisimple elements of linear groups.
Glasby , S , Praeger , C & Roney-Dougal , C M 2020 , ' Involution centralisers in finite unitary groups of odd characteristic ' , Journal of Algebra , vol. 545 , pp. 245-299 . https://doi.org/10.1016/j.jalgebra.2019.09.009
Journal of Algebra
Copyright © 2019 Elsevier Inc. All rights reserved. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1016/j.jalgebra.2019.09.009
DescriptionFunding: Australian Research Council Discovery Project grants DP160102323 and DP190100450.
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.