Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with gr.group-theory
Search options not deleted
user 482329
Questions about the branch of algebra that deals with groups.
5
votes
0
answers
136
views
Quotient of a $F_n$ group which is $F_n$
It is known that quotients of finitely generated groups are finitely generated and that the quotient of a finitely presented group is finitely presented iff the normal subgroup is the normal closure o …
- 447
3
votes
0
answers
87
views
Kazhdan's property $T$ implies not virtually indicable
I've read in many places that every compactly generated group $G$ satisfying Kazdhan's property (T) is not virtually indicable (there is no subgroup $H\leq G$ of finite index which surjects onto $\mat …
- 447
3
votes
0
answers
144
views
Write an Artin group as an HNN-extension
Assume that $A_\Gamma$ is an Artin group and $\chi:A_\Gamma\to(\mathbb{Z},+)$ is a group homomorphism of the following form. $\Gamma=\Gamma_1\cup\Gamma_2$ with $\Gamma_1\cap\Gamma_2=\emptyset,A_{\Gamm …
- 447
2
votes
1
answer
139
views
Quotient of an Artin group is an Artin group
I'm working on a problem about Artin groups, and to simplify this problem I want to take a quotient that allow us to go to an easier Artin group, but I'm not sure if the quotient is well defined. This …
- 447
1
vote
1
answer
155
views
Finiteness of $\ell^2$-Betti numbers
I'm reading the paper "Improved algebraic fibering" by Sam Fisher (https://arxiv.org/pdf/2112.00397.pdf) and in the proof of lemma 6.4 it claims the followng:
$(\mathcal{D}_{\mathbb{F}K}\ast\mathbb{Z} …
- 447
2
votes
0
answers
54
views
Chain complex of the Salvetti complex of an Artin group
Let $A_\Gamma$ be an Artin group. The Salvetti complex $Sal(A_{\Gamma})$ can be briefly defined as the $2$-presentation complex associated to the usual presentation of the Artin group after attaching …
- 447
4
votes
1
answer
107
views
Salvetti complex of dihedral Artin group
The Salvetti complex of a RAAG is well-known and it is fairly simple, since each complete graph gives rise to a tori. The case of Artin groups is wilder, since we do not have tori anymore. The constru …
- 447