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Results tagged with gr.group-theory
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user 126243
Questions about the branch of algebra that deals with groups.
10
votes
3
answers
552
views
Centre of orbifold fundamental group of torus (Klein bottle) with one cone point
$\newcommand{\orb}{\mathrm{orb}}$Let $T$ ($K$) be the torus (Klein bottle) with one cone point of order $q\geq 2$. The presentation of their orbifold fundamental groups are easy to find. Namely,
$$\p …
- 585
7
votes
1
answer
285
views
Distinguishing poly-free groups
I have two discrete groups $G_1$ and $G_2$ sitting in the following exact sequences:
$1\to H_1\to G_1\to K_1\to 1$ and $1\to H_2\to G_2\to K_2\to 1$.
$H_1$, $K_1$, $H_2$ and $K_2$ are all non-abelian …
- 585
2
votes
1
answer
171
views
Order of a loop around a cone point
Let $M$ be a connected orientable two-dimensional orbifold with only cone points as singular points. Assume that $M$ has genus $\geq 1$. Let $\alpha$ be a loop around an order $p$ cone point. Can we c …
- 585