Timeline for A simple fundamental group of an hypersurface
Current License: CC BY-SA 3.0
17 events
| when toggle format | what | by | license | comment | |
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| Oct 29, 2015 at 9:59 | comment | added | Mister Godfrey | Can someone help me please ? | |
| Oct 28, 2015 at 9:31 | comment | added | Mister Godfrey | i modified my question. Is it absolutely clear for everyone now ? ;-) Thank you very much | |
| Oct 27, 2015 at 16:52 | history | edited | Mister Godfrey | CC BY-SA 3.0 |
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| Oct 27, 2015 at 16:27 | comment | added | YCor | Sorry for being pedantic :) 1: if "simple" means "has no normal subgroup", then no group is simple 2) according to all conventions, the group with 1 element is not simple (and 1 is not a prime number). | |
| Oct 27, 2015 at 16:00 | comment | added | Mister Godfrey | Sorry I didn't precise it above but yes. It is the group of its complement ! I hope my request is clear now... | |
| Oct 27, 2015 at 15:56 | history | edited | Mister Godfrey | CC BY-SA 3.0 |
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| Oct 27, 2015 at 15:46 | comment | added | Jason Starr | A hyperplane is isomorphic to $\mathbb{C}^{n-1}$, which is simply connected. Are you asking about the fundamental group of the complement of the hypersurface? | |
| Oct 27, 2015 at 15:42 | comment | added | Mister Godfrey | The group of an hyperplane is isomorphic to Z isn't it ? And Z is not simple ! (I define the fundamental group of an hypersurface A by $\pi_1(C^n \setminus A)$) | |
| Oct 27, 2015 at 14:44 | review | Close votes | |||
| Oct 28, 2015 at 15:38 | |||||
| Oct 27, 2015 at 14:01 | comment | added | Jason Starr | Okaaay . . . an affine hyperplane has trivial fundamental group so that the only normal subgroups are the trivial group and the group itself. | |
| Oct 27, 2015 at 13:47 | comment | added | Mister Godfrey | Actually I'm looking for an example where the group is simple ie such that the only normal subgroups are the trivial group and the group itself. | |
| Oct 27, 2015 at 13:43 | comment | added | Jason Starr | Are you asking for an example where the group is infinite and simple? | |
| Oct 27, 2015 at 13:00 | comment | added | Mister Godfrey | The group may not necessarily be finite. | |
| Oct 27, 2015 at 12:54 | comment | added | Jason Starr | Are you asking whether any specified finite simple group arises as the fundamental group of some analytic hypersurface? | |
| Oct 27, 2015 at 12:48 | comment | added | Jason Starr | The group with one element is simple (sorry for being pedantic). | |
| Oct 27, 2015 at 12:42 | review | First posts | |||
| Oct 27, 2015 at 13:06 | |||||
| Oct 27, 2015 at 12:37 | history | asked | Mister Godfrey | CC BY-SA 3.0 |