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Published May 15, 2013 | public
Journal Article

Overgroup lattices in finite groups of Lie type containing a parabolic

Abstract

The main theorem is a step in a program to show there exist finite lattices that are not an interval in the lattice of subgroups of any finite group. As part of the proof of the main theorem, we prove a theorem on the structure of maximal parabolics in finite groups of Lie type, which is of independent interest.

Additional Information

© 2013 Elsevier Inc. Received 26 June 2012; Available online 6 March 2013. Communicated by Leonard L. Scott, Jr. This work was partially supported by NSF grants DMS-0504852 and DMS-0969009.

Additional details

Created:
August 22, 2023
Modified:
October 23, 2023