Timeline for Orthogonal Groups over finite fields
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Jun 11, 2014 at 5:41 | history | edited | M.B | CC BY-SA 3.0 |
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| Jul 16, 2012 at 17:36 | comment | added | Dima Pasechnik | yes, I fully agree, the notation is confusing. | |
| Jul 15, 2012 at 21:44 | comment | added | Geoff Robinson | I was not criticisng your notation. I meant that the notation in the existing literature is often ambiguous. For example, sometimes ${\rm O^{+}}(n,q)$ is used to denote the unique non-Abelian composition factor of the orthogonal matrix group, sometimes it is used to mean the group of orthogonal matrices itself. Letting ${\rm SO}(2n,q)$ denote the orthogonal group of matrices of determinant $1$ associated to the standard form (over the field of $q$ elements, $q$ odd), the point is, as you correctly note, that this group has a normal subgroup of index $2$. | |
| Jul 15, 2012 at 18:33 | comment | added | M.B | Geoff: I am not really group theorist, so I might have used some nonstandard notations. I apologize for this. I would be thankful to you if you point out mistakes I made in my answer. | |
| Jul 15, 2012 at 16:16 | history | answered | M.B | CC BY-SA 3.0 |