The affine and projective groups are maximal
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- by Itay Kaplan and Pierre Simon PDF
- Trans. Amer. Math. Soc. 368 (2016), 5229-5245 Request permission
Abstract:
We show that the groups $AGL_{n}\left (\mathbb {Q}\right )$ (for $n\geq 2$) and $PGL_{n}\left (\mathbb {Q}\right )$ (for $n\geq 3$), seen as closed subgroups of $S_{\omega }$, are maximal-closed.References
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Additional Information
- Itay Kaplan
- Affiliation: Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Givat Ram, Jerusalem 91904, Israel
- MR Author ID: 886730
- Email: kaplan@math.huji.ac.il
- Pierre Simon
- Affiliation: Institut Camille Jordan, Université Claude Bernard - Lyon 1, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne Cedex, France
- MR Author ID: 942320
- Email: simon@math.univ-lyon1.fr
- Received by editor(s): December 1, 2013
- Received by editor(s) in revised form: October 15, 2014
- Published electronically: November 12, 2015
- Additional Notes: The first author would like to thank the Israel Science foundation for partial support of this research (Grant no. 1533/14).
The research leading to these results received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007- 2013)/ERC Grant Agreement No. 291111. - © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 5229-5245
- MSC (2010): Primary 03C40, 51E15, 51E10, 20E28, 20B27
- DOI: https://doi.org/10.1090/tran/6608
- MathSciNet review: 3456178