Timeline for Number of conjugacy classes of a semi-direct product of two finite groups
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 7, 2023 at 3:49 | answer | added | testaccount | timeline score: 0 | |
| Dec 6, 2023 at 5:02 | answer | added | Joachim König | timeline score: 5 | |
| Dec 5, 2023 at 21:19 | history | edited | LSpice | CC BY-SA 4.0 |
Grammar
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| Dec 5, 2023 at 17:31 | history | edited | Martin Sleziak |
added a top-level tag; see: https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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| Dec 5, 2023 at 17:22 | comment | added | Geoff Robinson | For an example with strict inequality, consider the example of the alternating group of degree $4$ ( and order $12$), which is the semidirect product of a Klein $4$-group $G$ and a cyclic group $H$ of order $3$, but has only $4$ conjugacy classes. | |
| Dec 5, 2023 at 17:16 | comment | added | Geoff Robinson | It is always the case that $r(G \sd H) \leq r(G)r(H).$ I am not sure who was first to prove this, (maybe P.X. Gallacher), but the inequality is often strict. | |
| Dec 5, 2023 at 17:06 | history | asked | gdre | CC BY-SA 4.0 |