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Published October 1, 2009 | public
Journal Article

Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups

Abstract

Let G be a finite alternating or symmetric group. We describe an infinite class of finite lattices, none of which is isomorphic to any interval [H,G] in the subgroup lattice of G.

Additional Information

© 2009 Elsevier Inc. Received 9 January 2009. Available online 23 July 2009. Communicated by Ronald Solomon. We thank the referee for helpful comments. We thank Russ Woodroofe for providing the picture of DΔ(3, 3). Partially supported by NSF Grants DMS 0504852 and DMS 0604233.

Additional details

Created:
August 21, 2023
Modified:
October 19, 2023