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5 votes
1 answer
366 views

In what sense is Bass-Serre theory the one-dimensional version of orbifold theory

The Wikipedia article on Bass-Serre theory claims that graphs of groups (in the context of Bass-Serre theory) "can be viewed as one dimensional versions of orbifolds." I hazily see a ...
Mithrandir's user avatar
1 vote
0 answers
80 views

Quotient of Euclidean space with maximal volume growth

Let $\Gamma$ be a discrete subgroup of the isometry group of $\mathbb R^n$ and $O=\mathbb R^n/\Gamma$ is the orbifold. If there exists a point $p \in O$ such that $$ \lim_{r \to \infty}\frac{\text{...
Totoro's user avatar
  • 2,535
6 votes
1 answer
262 views

Orbit spaces of crystallographic groups

In their paper "On Three-Dimensional Space Groups", Conway et al. write Although this paper was inspired by the orbifold concept, we did not need to consider the 219 orbifolds of space groups ...
eins6180's user avatar
  • 1,312