Timeline for Constructing the largest finite group with a fixed number of conjugacy classes
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Nov 30, 2022 at 15:00 | history | edited | Martin Sleziak |
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| Mar 25, 2019 at 12:50 | vote | accept | Christian Gaetz | ||
| Mar 25, 2019 at 4:03 | answer | added | Sebastien Palcoux | timeline score: 7 | |
| Apr 28, 2016 at 3:43 | comment | added | Gerry Myerson | See also mathoverflow.net/questions/58794/… and math.stackexchange.com/questions/46981/… | |
| Apr 28, 2016 at 3:08 | comment | added | verret | The groups are known up to $k=14$ at least, see Vera-López, A., Sangroniz, Josu, The finite groups with thirteen and fourteen conjugacy classes. Math. Nachr. 280 (2007), no. 5-6, 676–694. | |
| Apr 28, 2016 at 0:02 | comment | added | Geoff Robinson | E.Landau proved in around 1895 that for a fixed $k$, there are only finitely many solutions to $\sum_{j=1}^{k} \frac{1}{n_{j}} = 1$ in positive integers. Apply this to the class equation of a finite group. | |
| Apr 27, 2016 at 23:23 | comment | added | Christian Gaetz | I know it is due to Landau, but I don't have an exact reference. | |
| Apr 27, 2016 at 23:21 | comment | added | LSpice | I didn't know the first statement of your question. Do you know a reference? | |
| Apr 27, 2016 at 23:04 | comment | added | YCor | In a first step you can ask about estimates on the order of such a group (possibly with $\le k$ conjugacy classes rather than exactly $k$), and ask about groups with $\le k$ conjugacy classes of cardinal "asymptotically" maximal. | |
| Apr 27, 2016 at 22:59 | review | First posts | |||
| Apr 28, 2016 at 1:46 | |||||
| Apr 27, 2016 at 22:58 | history | asked | Christian Gaetz | CC BY-SA 3.0 |