Files in this item
Involution centralisers in finite unitary groups of odd characteristic
Item metadata
dc.contributor.author | Glasby, Stephen | |
dc.contributor.author | Praeger, Cheryl | |
dc.contributor.author | Roney-Dougal, Colva M. | |
dc.date.accessioned | 2020-09-25T23:36:01Z | |
dc.date.available | 2020-09-25T23:36:01Z | |
dc.date.issued | 2020-03-01 | |
dc.identifier | 261277635 | |
dc.identifier | aa9dbedb-54de-43f2-be5a-dabbf9a90298 | |
dc.identifier | 85072996283 | |
dc.identifier | 000508288800015 | |
dc.identifier.citation | 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 | en |
dc.identifier.issn | 0021-8693 | |
dc.identifier.other | ORCID: /0000-0002-0532-3349/work/73700934 | |
dc.identifier.uri | https://hdl.handle.net/10023/20690 | |
dc.description | Funding: Australian Research Council Discovery Project grants DP160102323 and DP190100450. | en |
dc.description.abstract | 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. | |
dc.format.extent | 614667 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of Algebra | en |
dc.subject | Involution centralisers | en |
dc.subject | Recognition algorithms | en |
dc.subject | Classical groups | en |
dc.subject | Unitary groups | en |
dc.subject | Regular semisimple elements | en |
dc.subject | Group generation | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | Involution centralisers in finite unitary groups of odd characteristic | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. St Andrews GAP Centre | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1016/j.jalgebra.2019.09.009 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2020-09-26 |
This item appears in the following Collection(s)
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.