This is the unique (3,7)-cage, meaning a graph such that each vertex has 3 neighbors and the shortest cycle has length 7.

It was fun showing people the great images created by Refurio Anachro, Greg Egan, Roice Nelson, Gerard Westendorp and many other folks. For more info on the images I talked about, read on….

This seems to represent quite a small proportion of all finite groups, counted by order, even ignoring the p p-groups. And this phenomenon of needing roots of unity to define representations is not ...

Guest post by John Bourke. The next International Category Theory Conference CT2025 will take place at Masaryk University (Brno, Czech Republic) from Sunday, July 13 and will end on Saturday, July 19, ...

I’m giving a talk next Friday, March 14th, at 9 am Pacific Daylight time here in California. You’re all invited! (Note that Daylight Savings Time starts March 9th, so do your calculations carefully if ...

Mar 26, 2025 The McGee group is one of the two smallest groups with an outer automorphism that preserves conjugacy classes. My route to understanding this fact was a long and winding one.