CaltechAUTHORS
  A Caltech Library Service

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

Aschbacher, Michael and Shareshian, John (2009) Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. Journal of Algebra, 322 (7). pp. 2449-2463. ISSN 0021-8693. https://resolver.caltech.edu/CaltechAUTHORS:20091210-094932243

Full text is not posted in this repository. Consult Related URLs below.

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20091210-094932243

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.jalgebra.2009.05.042DOIArticle
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.
Funders:
Funding AgencyGrant Number
NSFDMS-0504852
NSFDMS-0604233
Subject Keywords:Subgroup lattice; Symmetric group; Alternating group
Issue or Number:7
Record Number:CaltechAUTHORS:20091210-094932243
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20091210-094932243
Official Citation:Michael Aschbacher, John Shareshian, Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups, Journal of Algebra, Volume 322, Issue 7, 1 October 2009, Pages 2449-2463, ISSN 0021-8693, DOI: 10.1016/j.jalgebra.2009.05.042. (http://www.sciencedirect.com/science/article/B6WH2-4WTYY1K-1/2/6c04dd6c45f6ec4de1205cfc7946586e)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:16939
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:05 Jan 2010 00:14
Last Modified:03 Oct 2019 01:19

Repository Staff Only: item control page