Abstract
Abstract If L is a lattice, a group is called L-free if its subgroup lattice has no sublattice isomorphic to L. It is easy to see that for every sublattice L of L 10, the subgroup lattice of the dihedral group of order 8, the finite L-free groups form a lattice-defined class of groups with modular Sylow subgroups. In this paper we determine the structure of these groups for the two non-modular 8-element sublattices of L 10.
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