Published March 2012 | Published
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Lower signalizer lattices in alternating and symmetric groups

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Abstract

We prove that the subgroup lattices of finite alternating and symmetric groups do not contain so-called lower signalizer lattices in the class D�Δ. This result is one step in a program to show that the lattices in the class D�Δ are not isomorphic to an interval in the subgroup lattice of any finite group.

Additional Information

© 2012 de Gruyter. Received September 18, 2010; revised November 28, 2011. Published Online: 06/03/2012. Communicated by Robert M. Guralnick. This work was partially supported by NSF DMS-0504852 and NSF DMS-0969009.

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