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Results tagged with gr.group-theory
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user 127022
Questions about the branch of algebra that deals with groups.
2
votes
0
answers
69
views
Uniqueness of JSJ deformation space when there are no QH vertices
Let $G$ be a finitely generated group and $\mathcal{A}$ a collection of subgroups closed under conjugation and taking subgroups.
I'm interested in the problem of classifying all deformation spaces of …
- 302
4
votes
0
answers
76
views
Counting the number of free bases of $F_n$ with elements of bounded length
Let $F$ be a free group of finite rank and fix a free generating set $X$ of $F$. Let $P_r$ denote the set of all free generating sets of $F$ whose elements have length bounded by $r$ (when considered …
- 302
3
votes
2
answers
196
views
HNN decomposition of finite rank free group over infinite rank subgroups
It's a nice result of Swarup that whenever a free group $G$ splits as an HNN extension $G = J \ast_{H,t}$ with $H$ a finitely generated subgroup, there exist splittings $J = J_1 \ast J_2$ and $H = H_1 …
- 302