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math.GR2019
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…
math.GR2019
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…