Frankl's Conjecture for Subgroup Lattices

Electronic Journal Of Combinatorics

Alireza Abdollahi¹ 

关键词: Extremal combinatorics;    Subgroup lattice;    Finite simple groups;   

DOI  :  

学科分类：离散数学和组合数学

来源: Electronic Journal Of Combinatorics

【 摘 要 】

We show that the subgroup lattice of any finite group satisfies Frankl’s Union-Closed Conjecture. We show the same for all lattices with a modular coatom, a family which includes all supersolvable and dually semimodular lattices. A common technical result

【 授权许可】

Others