Geodesic
Frankl's conjecture for subgroup lattices
Alireza Abdollahi1 ; Russ Woodroofe2 ; Gjergji Zaimi3
1Department of Mathematics, University of Isfahan School of Mathematics, Institute for Research in Fundamental Sciences (IPM)
2University of Primorska
3(currently none)
The electronic journal of combinatorics, Tome 24 (2017) no. 3
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

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 used to prove both may be of some independent interest.
DOI : 10.37236/6248
Classification : 06A07, 05D05, 06C15, 20E15
Mots-clés : extremal combinatorics, subgroup lattice, finite simple groups

Alireza Abdollahi  1   ; Russ Woodroofe  2   ; Gjergji Zaimi  3

1 Department of Mathematics, University of Isfahan School of Mathematics, Institute for Research in Fundamental Sciences (IPM)
2 University of Primorska
3 (currently none) 
@article{10_37236_6248,
     author = {Alireza Abdollahi and Russ Woodroofe and Gjergji Zaimi},
     title = {Frankl's conjecture for subgroup lattices},
     journal = {The electronic journal of combinatorics},
     year = {2017},
     volume = {24},
     number = {3},
     doi = {10.37236/6248},
     zbl = {1369.06001},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/6248/}
}
TY  - JOUR
AU  - Alireza Abdollahi
AU  - Russ Woodroofe
AU  - Gjergji Zaimi
TI  - Frankl's conjecture for subgroup lattices
JO  - The electronic journal of combinatorics
PY  - 2017
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.37236/6248/
DO  - 10.37236/6248
ID  - 10_37236_6248
ER  - 
%0 Journal Article
%A Alireza Abdollahi
%A Russ Woodroofe
%A Gjergji Zaimi
%T Frankl's conjecture for subgroup lattices
%J The electronic journal of combinatorics
%D 2017
%V 24
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/6248/
%R 10.37236/6248
%F 10_37236_6248
Alireza Abdollahi; Russ Woodroofe; Gjergji Zaimi. Frankl's conjecture for subgroup lattices. The electronic journal of combinatorics, Tome 24 (2017) no. 3. doi: 10.37236/6248

Cité par Sources :