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On good A1 subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

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dc.contributor.authorBate, Michael
dc.contributor.authorBöhm, Sören
dc.contributor.authorMartin, Ben
dc.contributor.authorRöhrle, Gerhard
dc.contributor.institutionUniversity of Aberdeen.Mathematical Scienceen
dc.date.accessioned2025-07-01T08:55:01Z
dc.date.available2025-07-01T08:55:01Z
dc.date.issued2025-05
dc.descriptionWe are grateful to M. Korhonen and D. Testerman for helpful comments on an earlier version of the manuscript, and to A. Thomas for providing the G2 example in Example 4.13. We thank the referee for a number of comments clarifying some points. Some of this work was completed during a visit to the Mathematisches Forschungsinstitut Oberwolfach: we thank them for their support. For the purpose of open access, the authors have applied a Creative Commons Attribution (CC BY) licence to any Author Accepted Manuscript version arising from this submission.en
dc.description.statusPeer revieweden
dc.format.extent35
dc.format.extent566006
dc.identifier300226007
dc.identifiere99b2a60-1dd6-4094-ab92-ee2baf4efb94
dc.identifier105006829223
dc.identifier.citationBate, M, Böhm, S, Martin, B & Röhrle, G 2025, 'On good A1 subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups', Pacific Journal of Mathematics, vol. 336, no. 1-2, pp. 29-61. https://doi.org/10.2140/pjm.2025.336.29en
dc.identifier.doi10.2140/pjm.2025.336.29
dc.identifier.iss1en
dc.identifier.issn0030-8730
dc.identifier.otherORCID: /0000-0002-6670-0857/work/187453212
dc.identifier.urihttps://hdl.handle.net/2164/25649
dc.identifier.vol336en
dc.language.isoeng
dc.relation.ispartofPacific Journal of Mathematicsen
dc.subjectG-complete reducibilityen
dc.subjectG-irreducibilityen
dc.subjectdistinguished unipotent elementsen
dc.subjectdistinguished nilpotent elementsen
dc.subjectfinite groups of Lie typeen
dc.subjectgood A1 subgroupsen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleOn good A1 subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groupsen
dc.typeJournal articleen

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