2 papers
math.CO2021
The Sticky Matroid Conjecture
Jaeho Shin
We show Kantor's conjecture (1974) holds in rank 4. This proves both the sticky matroid conjecture of Poljak and Turzik (1982) and the whole Kantor's conjecture, due to an argument…
math.CO2020
Realizable Sticky Matroid Conjecture
Jaeho Shin
We give a criterion for modular extension of rank-4 hypermodular matroids, and prove a weakening of Kantor's conjecture for rank-4 realizable matroids. This proves the sticky matro…