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Questions on group theory which concern finite groups.

7 votes
Accepted

positions of regular cubes in Euclidean space with all its vertices without distinction

If the polyhedron $P$ in ${\mathbb R}^3$ has orientation-reversing symmetries then the orbit space $O(3)/Sym({P})$ is equal to $SO(3)/G$ for $G=G{(P})$ the orientation-preserving elements of $Sym{(P}) …
Allen Hatcher's user avatar
7 votes

What are the possible automorphism groups of Riemann surfaces of low genus?

Update. There are two ways to interpret the question "Which 32-element groups show up as automorphism groups of Riemann surfaces of genus 3?" depending on whether the group is assumed to be the full a …
Allen Hatcher's user avatar