Lattice-defined classes of finite groups with modular Sylow subgroups

Siyka Andreeva; Roland Schmidt; Imke Toborg

doi:10.1515/jgt.2010.075

Published by De Gruyter August 29, 2011

Lattice-defined classes of finite groups with modular Sylow subgroups

Siyka Andreeva , Roland Schmidt and Imke Toborg

From the journal Journal of Group Theory

https://doi.org/10.1515/jgt.2010.075

Showing a limited preview of this publication:

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

Lattice-defined classes of finite groups with modular Sylow subgroups

Abstract

Journal and Issue

Articles in the same Issue