Can I read Hole operations on Hurwitz maps on EtoBox?

Hole operations on Hurwitz maps by Gévay, Gábor; Jones, Gareth A. is a scholarly article available to read on EtoBox.

What is Hole operations on Hurwitz maps about?

For a given group $G$ the orientably regular maps with orientation-preserving automorphism group $G$ are used as the vertices of a graph $\O(G)$, with undirected and directed edges showing the effect of duality and hole operations on these maps. Some examples of these graphs are given, including several for small Hurwitz groups. For some $G$, such as the affine groups ${\rm AGL}_1(2^e)$, the graph $\O(G)$ is connected, whereas for some other infinite families, such as the alternating and symmetric groups, the number of connected components is unbounded.

Author

Gévay, Gábor; Jones, Gareth A.

Published

2021

Language

EN