Timeline for Order of abelian subgroup of the automorphism group of an abelian group
Current License: CC BY-SA 4.0
9 events
when toggle format | what | by | license | comment | |
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Mar 14 at 8:31 | history | edited | tomasz | CC BY-SA 4.0 |
added 178 characters in body
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Mar 14 at 2:20 | vote | accept | tomasz | ||
Mar 14 at 2:20 | comment | added | tomasz | @NickGill: Thanks, these remarks helped a lot! | |
Mar 14 at 1:00 | history | became hot network question | |||
Mar 13 at 21:59 | answer | added | KhashF | timeline score: 3 | |
Mar 13 at 14:28 | answer | added | Sean Eberhard | timeline score: 8 | |
Mar 13 at 13:06 | comment | added | Nick Gill | If you impose the condition that orders are coprime, then you are asking about maximal semisimple abelian subgroups of $GL_n(F_p)$ -- which is really a question about tori I guess. The maximum order is then $p^n-1$. | |
Mar 13 at 13:01 | comment | added | Nick Gill | For the $GL_n(F_p)$ question, it's possible to have an abelian group $B$ of order $p^{n^2/4}$ if you dont have the requirement that orders are coprime. Just consider matrices which have 1's on the diagonal and 0's everywhere except in the top right quarter of the matrix. | |
Mar 13 at 1:24 | history | asked | tomasz | CC BY-SA 4.0 |