Timeline for Subgroups of $\operatorname{GL}(n,q)$ transitive on non-zero vectors
Current License: CC BY-SA 4.0
7 events
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Sep 13, 2021 at 8:17 | comment | added | Nick Gill | Martin Liebeck's paper "The affine permutation groups of rank three" contains an appendix where he states and proves Hering's theorem. This theorem gives an explicit list of the groups you are interested in. I have an e-copy of the paper and can email it to you if you want... | |
Sep 11, 2021 at 19:38 | comment | added | Brauer Suzuki | In Thm 15.1 (p. 197) of iazd.uni-hannover.de/fileadmin/iazd/sambale/pdfs/lnm.pdf there is a precise list of the exceptional groups including ids to libraries. | |
Sep 11, 2021 at 12:18 | history | edited | Carl-Fredrik Nyberg Brodda | CC BY-SA 4.0 |
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Sep 11, 2021 at 11:27 | history | edited | YCor | CC BY-SA 4.0 |
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Sep 11, 2021 at 10:19 | comment | added | Derek Holt | These is essentially equivalent to the classification of finite double transitive groups of affine type. There is a long discussion of this question here. The consensus appears to be that they were classified by Hering, but there appears to be a dearth of precise references. | |
Sep 11, 2021 at 9:59 | comment | added | Friedrich Knop | There is a list of transitive finite linear groups in Wikipedia. | |
Sep 11, 2021 at 9:09 | history | asked | spin | CC BY-SA 4.0 |