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Results tagged with group-homology
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user 471160
7
votes
1
answer
341
views
How can I detect the homology image of a unipotent group in the general linear group?
Suppose $n$ is a positive integer greater than 2, and $F$ is an arbitrary field with at least 4 elements.
Denote $\text{GL}_n(F)$ the general linear group in the usual sense and $U_n(F)$ the unipotent …
- 441
4
votes
1
answer
283
views
The third homology stability of general linear groups over finite fields
Given a finite field $\mathbb{F}$ with $|\mathbb{F}|=q=p^m\geq4$ where $p=\text{char}(\mathbb{F})$, I'm wondering is there a characterization of the kernel of the map $f:H_3(\text{GL}_3(\mathbb{F}))\t …
- 441