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Results tagged with gr.group-theory
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user 21095
Questions about the branch of algebra that deals with groups.
3
votes
Accepted
Resolution of coefficient system in group homology
This is an example of the hyperhomology spectral sequences in the case of chain complexes of $G$-modules. See chapter 5.7 (especially proposition 5.7.6) of Weibel's book "An introduction to homologica …
- 6,210
19
votes
Accepted
Are maximal compact subgroups of connected groups connected?
Disclaimer: Locally compact groups are absolutely not my field of expertise. I hope an expert can check my statements below, and perhaps add some details and references.
The Malcev–Iwasawa theorem im …
- 6,210
12
votes
Can the n-string sphere braid group embed in to the (n+1)-string sphere braid group?
The answer of Gregory Arone can be generalized to give a section for all $n\geq 3$ using a remark I learned from the writings of Fred Cohen. For $n\geq 3$ there is a homotopy equivalence
$$ SO(3)\time …
- 6,210
10
votes
1
answer
847
views
finite complex with non-finitely generated homology with local coefficients
I am looking for an explicit example, if one exists, of a (pointed) finite connected CW-complex $X$ such that some homology group with local coefficients $H_n(X,{\mathbb Z}[\pi_1 X])$ is not a finitel …
- 6,210