13 citations · 68 across the 29 of their papers we have counts for
6 papers · 1 filter
Sharp bounds for intervals in finite subgroup lattices
Sebastien Palcoux, Pablo Spiga
Let H be a subgroup of a finite group G, and put n = [G:H] > 1. If p is the least prime divisor of n, we prove that the number of subgroups K with H <= K <= G is less than c(p) n^(…
The Boolean intervals of Chevalley type are strongly non group-complemented
Sebastien Palcoux, Pablo Spiga
Let G be a finite Chevalley group and B a Borel subgroup. Then the interval [B,G] in L(G) is Boolean. We prove, using Zsigmondy's theorem, that for any element P in the open interv…
Boolean lattices in finite alternating and symmetric groups
Andrea Lucchini, Mariapia Moscatiello, Sebastien Palcoux +1
Given a group and a subgroup , we let denote the lattice of subgroups of containing . This paper provides a classification of the subgroups of…
Dual Ore's theorem on distributive intervals of finite groups
Sebastien Palcoux
This paper gives a self-contained group-theoretic proof of a dual version of a theorem of Ore on distributive intervals of finite groups. We deduce a bridge between combinatorics a…
Dual Ore's theorem for distributive intervals of small index
Sebastien Palcoux
This paper proves a dual version of a theorem of Oystein Ore for every distributive interval of finite groups [H,G] of index |G:H|<9720, and for every boolean interval of rank <7.…
On Boolean intervals of finite groups
Mamta Balodi, Sebastien Palcoux
We prove a dual version of Øystein Ore's theorem on distributive intervals in the subgroup lattice of finite groups, having a nonzero dual Euler totient . For any Boolean gr…