Advanced search
Publication Cover
Communications in Algebra Volume 40, 2012 - Issue 12
Submit an article Journal homepage
277
Views
41
CrossRef citations to date
0
Altmetric
Original Articles

Supercharacter Theory Constructions Corresponding to Schur Ring Products

Anders O. F. Hendrickson Department of Mathematics, Saint Norbert College, De Pere, Wisconsin, USACorrespondence[email protected]
Pages 4420-4438 | Received 19 May 2011, Published online: 10 Oct 2012
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

Diaconis and Isaacs have defined the supercharacter theories of a finite group to be certain approximations to the ordinary character theory of the group [Citation7]. We make explicit the connection between supercharacter theories and Schur rings, and we provide supercharacter theory constructions which correspond to Schur ring products of Leung and Man [Citation12], Hirasaka and Muzychuk [Citation10], and Tamaschke [Citation20].

2000 Mathematics Subject Classification:

ACKNOWLEDGMENT

Before closing this article, I wish to express my gratitude to two anonymous referees for their valuable suggestions.

Notes

Communicated by A. Turull.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related Research Data

Basic Characters of the Unitriangular Group
Source: Elsevier BV
A super-class walk on upper-triangular matrices
Source: Elsevier BV
Ramanujan sums as supercharacters
Source: arXiv
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Source: HAL CCSD
Fusions of Character Tables and Schur Rings of Abelian Groups
Source: Informa UK Limited
The Schur–Wielandt Theory for Central S-Rings
Source: Springer Science and Business Media LLC
Basic characters of the unitriangular group (for arbitrary primes)
Source: American Mathematical Society (AMS)
Groups with Exactly Two Supercharacter Theories
Source: Informa UK Limited
On Schur-rings which define a proper character theory on finite groups
Source: Springer Science and Business Media LLC
On Schur Rings over Cyclic Groups, II
Source: Elsevier BV
A supercharacter analogue for normality
Source: Elsevier BV
Supercharacters and the discrete Fourier, cosine, and sine transforms
Source: arXiv
An Elementary Abelian Group of Rank 4 Is a CI-Group
Source: Elsevier BV
On schur rings over cyclic groups
Source: Springer Science and Business Media LLC
Schur rings
Source: Elsevier Ltd.
Towards a Supercharacter Theory of Parabolic Subgroups
Source: Springer Science and Business Media LLC
A wedge product of association schemes
Source: Elsevier Ltd.
Supercharacters and superclasses for algebra groups
Source: American Mathematical Society (AMS)

Linking provided by 

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.