Gabe Cunningham

collaborators

3 papers

math.GR2025

Symmetric polytopes whose automorphism groups are 2-groups

Gabriel Cunningham, Yan-Quan Feng, Dong-Dong Hou +1

The present work investigates regular, semiregular, and chiral polytopes of any rank $d \geq 3$ , whose automorphism groups are 2-groups. There is a large variety of rather small fin…

math.GR2025

Graph Powers of Groups

Gabe Cunningham, Igor Minevich

The Lights Out Puzzle, played on a graph $I^$ , has been studied using linear algebra over $F_{2}$ and more generally over $Z / k Z$ . We generalize the setting…

math.CO2025

Graph Powers of Groups II: The RA Matrix

Gabe Cunningham, Igor Minevich

For a graph $I^$ and group $G$ , $G^{I^} $ is the subgroup of $G^{∣ I^∣}$ generated by elements with $g$ in the coordinates corresponding to $v$ and its neighbors in $I^$ . There is a na…