Timeline for non-abelian groups of prescribed order
Current License: CC BY-SA 2.5
17 events
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Jan 11, 2010 at 1:30 | vote | accept | CommunityBot | moved from User.Id=577 by developer User.Id=69903 | |
Jan 7, 2010 at 4:35 | answer | added | Ian | timeline score: 4 | |
Jan 7, 2010 at 4:34 | answer | added | S. Carnahan♦ | timeline score: 2 | |
Jan 7, 2010 at 4:06 | comment | added | Qiaochu Yuan | Yes, what I gave is a faithful representation of that G. | |
Jan 7, 2010 at 4:04 | history | edited | user577 | CC BY-SA 2.5 |
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Jan 7, 2010 at 3:49 | comment | added | Mariano Suárez-Álvarez | My $G$ was the semi direct product of $\mathbb Z_p\times\mathbb Z_p$ by $\mathbb Z_p$, with the latter's generator acting on the former by the matrix $\left(\begin{array}{cc}1&1\\\\0&1\end{array}\right)$. | |
Jan 7, 2010 at 3:48 | comment | added | Qiaochu Yuan | Also, maybe you should be more explicit about which theorems you want to see the subtleties of. | |
Jan 7, 2010 at 3:45 | answer | added | Pete L. Clark | timeline score: 12 | |
Jan 7, 2010 at 3:44 | history | edited | user577 | CC BY-SA 2.5 |
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Jan 7, 2010 at 3:44 | answer | added | Mariano Suárez-Álvarez | timeline score: 6 | |
Jan 7, 2010 at 3:41 | comment | added | Qiaochu Yuan | Whoops. Replace "the identity matrix" with "a permutation matrix of order p." | |
Jan 7, 2010 at 3:39 | comment | added | Qiaochu Yuan | If Mariano's G is the G that I'm thinking of, it has the following explicit description: it's the group of p x p matrices generated by the identity matrix, the diagonal matrix with all entries zeta_p, and the diagonal matrix (1, zeta_p, zeta_p^2, ...). | |
Jan 7, 2010 at 3:26 | history | edited | user577 | CC BY-SA 2.5 |
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Jan 7, 2010 at 3:18 | comment | added | user577 | Very good point. | |
Jan 7, 2010 at 3:13 | answer | added | Qiaochu Yuan | timeline score: 2 | |
Jan 7, 2010 at 2:57 | comment | added | Mariano Suárez-Álvarez | You may want to be more stringent about what you want, lest you get silly examples like $G\times\mathbb Z_p^{m-3}\times\mathbb Z_r$ with $G$ a non abelian group of order $p^3$ (which you can get as $(\mathbb Z_p\times\mathbb Z_p)\rtimes\mathbb Z_p)$. | |
Jan 7, 2010 at 2:49 | history | asked | user577 | CC BY-SA 2.5 |