Timeline for The growth rate of a commutator set in a non-elementary group
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Apr 20, 2023 at 11:29 | history | edited | Sean Eberhard | CC BY-SA 4.0 |
Improve to quadratic in the class-2 case, modulo a guess about the quadratic form xy-zw.
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| Apr 20, 2023 at 3:03 | comment | added | dennis | So beautiful! Thank you for your nice answer! | |
| Apr 20, 2023 at 2:57 | vote | accept | dennis | ||
| Apr 19, 2023 at 17:54 | comment | added | Sean Eberhard | @SaliniMendisi If $G$ is finitely generated and class-2 nilpotent then $G'$ is also finitely generated. If $g_1, \dots, g_k$ are generators for $G$ then $[g_i, g_j]$ $(1 \le i < j \le k$) are generators for $G'$. If there is no commutator of infinite order then $G'$ is finite, which implies $Z(G)$ has finite index in $G$. | |
| Apr 19, 2023 at 15:54 | comment | added | Salini Mendisi | Why does 2-nilpotent and not virtually abelian imply that there is a commutator of infinite order? | |
| Apr 19, 2023 at 11:27 | history | edited | Sean Eberhard | CC BY-SA 4.0 |
add comments on the class-2 case.
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| Apr 19, 2023 at 10:37 | history | answered | Sean Eberhard | CC BY-SA 4.0 |