Timeline for Is there anything known about the lower central series of a group $G\wr C_p$?

11 events

when toggle format	what		by	license	comment
Mar 10, 2023 at 15:42	history	edited	Sean Eberhard	CC BY-SA 4.0	small correction to Gillyweeds's correction
Mar 10, 2023 at 15:32	history	rollback	Sean Eberhard		Rollback to Revision 2
Mar 10, 2023 at 15:27	comment	added	Sean Eberhard		@Gillyweeds The polynomial identity $\Delta^{p-1} = 1 + \sigma + \cdots + \sigma^{p-1}$ uses the fact that $G$ has exponent $p$.
S Mar 10, 2023 at 15:24	history	edited	Sean Eberhard	CC BY-SA 4.0	I have checked with GAP which is the LCS of $C_{p^2}\wr C_p$.
S Mar 10, 2023 at 15:24	history	suggested	Gillyweeds	CC BY-SA 4.0	I have checked with GAP which is the LCS of $C_{p^2}\wr C_p$.
Mar 10, 2023 at 14:06	review	Suggested edits
S Mar 10, 2023 at 15:24
Mar 10, 2023 at 14:03	comment	added	Gillyweeds		I have a small question. At the beginning where do you use that $G$ is elementary abelian? Is it to get that the map $\Delta$ has $\dim \ker\Delta= \dim G$?
Mar 8, 2023 at 18:18	vote	accept	Gillyweeds
S Mar 8, 2023 at 11:24	history	suggested	Gillyweeds	CC BY-SA 4.0	I think that when you write "First consider the case in which $G$ is abelian" you actually mean elementary abelian.
Mar 8, 2023 at 11:07	review	Suggested edits
S Mar 8, 2023 at 11:24
Mar 7, 2023 at 16:24	history	answered	Sean Eberhard	CC BY-SA 4.0