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Lattice-defined classes of finite groups with modular Sylow subgroups
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Siyka Andreeva
,
Roland Schmidt
Published/Copyright:
August 29, 2011
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 L10, 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 L10.
Received: 2010-05-18
Revised: 2010-08-30
Published Online: 2011-08-29
Published in Print: 2011-September
© de Gruyter 2011
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