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math.GR2016★ 1 cited
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.…
math.GR2016★ 4 cited
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…