Small groups of finite Morley rank with a supertight automorphism
| dc.authorscopusid | 57207860603 | |
| dc.authorscopusid | 55534937400 | |
| dc.contributor.author | Karhumäki, U. | |
| dc.contributor.author | Uğurlu Kowalski, P. | |
| dc.date.accessioned | 2024-07-18T20:16:50Z | |
| dc.date.available | 2024-07-18T20:16:50Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Let G be an infinite simple group of finite Morley rank and of Prüfer 2-rank 1 which admits a supertight automorphism ? such that the fixed-point subgroup CG(?n) is pseudofinite for all integers n>0. The main result of this paper is the identification of G with PGL2(K) for some algebraically closed field K of characteristic ?2. © 2024 The Author(s) | en_US |
| dc.description.sponsorship | Mathematisches Forschungsinstitut Oberwolfach, MFO; 338334, 322795 | en_US |
| dc.description.sponsorship | The first author is funded by the Finnish Science Academy grant no: 338334. Part of this work was done when she was funded by the Finnish Science Academy grant no: 322795. The second author has completed part of this work during her sabbatical leave in 2022–2023 Academic Year which she spent at Wroc?aw University. The presentation of the paper was finished during the authors' stay in the Mathematisches Forschungsinstitut Oberwolfach. | en_US |
| dc.identifier.doi | 10.1016/j.jalgebra.2024.03.001 | |
| dc.identifier.endpage | 905 | en_US |
| dc.identifier.issn | 0021-8693 | |
| dc.identifier.scopus | 2-s2.0-85188459060 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 884 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jalgebra.2024.03.001 | |
| dc.identifier.uri | https://hdl.handle.net/11411/6288 | |
| dc.identifier.volume | 647 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press Inc. | en_US |
| dc.relation.ispartof | Journal of Algebra | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Algebraic Groups | en_US |
| dc.subject | Groups Of Finite Morley Rank | en_US |
| dc.subject | Non-Standard Frobenius Automorphism | en_US |
| dc.subject | Pseudofinite Groups | en_US |
| dc.title | Small groups of finite Morley rank with a supertight automorphism | en_US |
| dc.type | Article | en_US |
