Thomas Gruebl's honors talk "Critical Groups for Cayley Graphs of Bent Functions", 2015 -12-09
Channel: usnamathweb
Date: 2015-12-10

This talk concerns the critical group of bent functions in the p-ary case. Let f be a p-ary function, f(0) = 0 and suppose f is even.  Any such f can be described using its corresponding edge-weighted additive Cayley graph. We provide support for the conjecture: The critical group of the Cayley graph of a bent function f only depends on the size of the support, |supp(f)|.