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1Department of Mathematics, California Institute of Technology, Pasadena, California, 91125, U.S.A. E-mail: filipok@caltech.edu
Citation Information: Journal of Group Theory. Volume 12, Issue 1, Pages 119–137, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/JGT.2008.065, November 2008
If G is a group and H is a subgroup of G we write for the lattice of over-groups of H in G. It is an open question whether or not every finite lattice is isomorphic to some finite group interval lattice
, where G is finite. We prove that no DΔ(m
1, … , mt)-lattice and few M-lattices have the form
, where G is an alternating or symmetric group of prime degree.
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