Timeline for $H_2(H,\mathbb{Z})$ where $H$ is a f.g. normal subgroup of a f.p. group
Current License: CC BY-SA 3.0
5 events
when toggle format | what | by | license | comment | |
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Aug 22, 2011 at 13:19 | vote | accept | Mustafa Gokhan Benli | ||
Aug 20, 2011 at 2:17 | comment | added | Ben Wieland | The group is $\mathbb Z^2\ltimes \mathbb Z[\frac12]^2$. The subgroup is $\mathbb Z\ltimes \mathbb Z[\frac12]^2$. The subgroup consists of those elements whose image in $\mathbb Z^2$ is anti-diagonal: $(n,-n)$. The group is fp because it's the square of the fp $BS(1,2)$. The subgroup is fg by 3 elements, the $1\in \mathbb Z$ and the two $1\in\mathbb Z[\frac12]$. | |
Aug 19, 2011 at 17:55 | comment | added | Mustafa Gokhan Benli | @Ben. I am sorry but I have difficulty following the argument . Can you explicitly tell me what is the group and what is the subgroup? Thanks alot. | |
Aug 19, 2011 at 3:43 | comment | added | Autumn Kent | That's also good. | |
Aug 19, 2011 at 3:27 | history | answered | Ben Wieland | CC BY-SA 3.0 |