Timeline for Prove that every group $G$ with $p^n$ ($n\ge4$) elements and center with $p$ elements has an abelian subgroup of order $p^3$ [closed]

Current License: CC BY-SA 4.0

15 events

when toggle format	what		by	license	comment
Dec 12, 2023 at 23:02	comment	added	YCor		Hint: (0) check that it's enough to deal with G of order p^4 (1) prove that there is a normal subgroup H of order p^2 (2) show that for every group W of order p^2, the p-Sylow of Aut(W) have order p. (3) Deduce that the centralizer of H has order p^3 or p^4 and conclude.
Dec 12, 2023 at 22:56	history	closed	Max Horn Arturo Magidin Gerry Myerson LSpice Yemon Choi		Not suitable for this site
Dec 12, 2023 at 22:36	history	edited	YCor	CC BY-SA 4.0	copied question to body
Dec 12, 2023 at 22:15	comment	added	LSpice		I am not an MSE regular, but, given that this problem describes your attempts to solve the problem, it seems to me that it could be well received there.
Dec 12, 2023 at 22:14	history	edited	LSpice	CC BY-SA 4.0	Math in title
Dec 12, 2023 at 21:52	comment	added	Arturo Magidin		math.overflow is for research-level questions. You may want to look at math.stackexchange instead, but please read the FAQ there before posting.
Dec 12, 2023 at 21:42	review	Close votes
S Dec 12, 2023 at 23:09
Dec 12, 2023 at 21:19	history	edited	Max Horn	CC BY-SA 4.0	added 21 characters in body; edited title
Dec 12, 2023 at 20:30	history	edited	Francesco Bradanini	CC BY-SA 4.0	edited body
Dec 12, 2023 at 20:29	history	edited	Francesco Bradanini	CC BY-SA 4.0	edited title
Dec 12, 2023 at 20:28	history	edited	Francesco Bradanini	CC BY-SA 4.0	edited title
Dec 12, 2023 at 20:26	history	edited	Francesco Bradanini	CC BY-SA 4.0	edited title
Dec 12, 2023 at 20:25	history	edited	Francesco Bradanini	CC BY-SA 4.0	edited title
S Dec 12, 2023 at 20:16	review	First questions
S Dec 12, 2023 at 23:09
S Dec 12, 2023 at 20:16	history	asked	Francesco Bradanini	CC BY-SA 4.0