Timeline for non-solvable finite group with a certain character degrees
Current License: CC BY-SA 3.0
15 events
| when toggle format | what | by | license | comment | |
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| Jul 22, 2017 at 21:04 | review | Close votes | |||
| Jul 23, 2017 at 0:15 | |||||
| Jul 22, 2017 at 19:39 | review | First posts | |||
| Jul 22, 2017 at 19:41 | |||||
| Jul 22, 2017 at 18:29 | comment | added | Guest | @ DavidHarden. I am Sorry. I mean the size of cd(G) is six. | |
| Jul 22, 2017 at 18:27 | comment | added | Guest | Also, when I was working with simple group G/M, I got some possibility for cd(G), but I am not sure that occurs. | |
| Jul 22, 2017 at 18:12 | comment | added | DavidLHarden | "exactly six irreducible character" indicates otherwise. | |
| Jul 22, 2017 at 18:08 | comment | added | YCor | @DavidLHarden this is the set of irreducible character degrees but my understanding is that it ignores multiplicities. | |
| Jul 22, 2017 at 18:04 | comment | added | DavidLHarden | But then doesn't $|G| = 1^{2} + 3^{2} + 4^{2} + 5^{2} + 6^{2} + 10^{2} = 187$ make that impossible, since all groups of order $187 = 11 \cdot 17$ are cyclic? | |
| Jul 22, 2017 at 17:58 | comment | added | Guest | I would like to find a non-solvable finite group G such that it has exactly six irreducible character and {1, 3, 4 , 5} is contained in cd(G), and about the other two degrees a, b in cd(G), I know that 6 divides a, 10 divides b , but 5 does not divides a and 3 does not divide b. Since the smallest positive integers with these condition are 6 and 10, I choose the first set as character degree set. | |
| Jul 22, 2017 at 16:08 | comment | added | Derek Holt | It is not true that ${\rm cd}(A_5) = \{1,2,3,4,5,6,10\}$. So the sentence beginning "In other words" is not true. | |
| Jul 22, 2017 at 15:45 | comment | added | Yemon Choi | It is certainly not a special case of the second: suppose I take $G= M \times A_5$ where $M$ is non-abelian | |
| Jul 22, 2017 at 15:40 | comment | added | Guest | The first sentence is a special case of the second. In other words, the relation between the degrees are important. | |
| Jul 22, 2017 at 15:00 | comment | added | Yemon Choi | I don't understand why the first sentence implies the second sentence | |
| Jul 22, 2017 at 14:49 | history | edited | Guest | CC BY-SA 3.0 |
added 3 characters in body
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| Jul 22, 2017 at 13:02 | history | edited | YCor | CC BY-SA 3.0 |
added "finite" as well as the tag
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| Jul 22, 2017 at 12:26 | history | asked | Guest | CC BY-SA 3.0 |