Advanced search
Publication Cover
Communications in Algebra Volume 42, 2014 - Issue 3
Submit an article Journal homepage
98
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups

Samuel G. Benidt Department of Statistics, Iowa State University, Ames, Iowa, USA
,
William R. S. Hall Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, New York, USA
&
Anders O. F. Hendrickson Department of Mathematics, St. Norbert College, De Pere, Wisconsin, USACorrespondence[email protected]
Pages 1123-1135 | Received 07 Mar 2012, Published online: 20 Nov 2013
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

We consider the lattice of supercharacter theories, in the sense of Diaconis and Isaacs [Citation5], of the cyclic group of order n. We find necessary and sufficient conditions on n for that lattice to be upper or lower semimodular.

2010 Mathematics Subject Classification:

Notes

Communicated by A. Turull.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,187.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.