Advanced search
Publication Cover
Communications in Algebra Volume 46, 2018 - Issue 8
Submit an article Journal homepage
114
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Structures of commutative table algebras determined by their character tables and applications to finite groups

Gang ChenSchool of Mathematics and Statistics, Central China Normal University, Wuhan, China
&
Bangteng XuDepartment of Mathematics and Statistics, Eastern Kentucky University, Richmond, Kentucky, USACorrespondence[email protected]
Pages 3510-3519 | Received 25 Oct 2017, Published online: 13 Feb 2018

References

  • Arad, Z., Fisman, E., Muzychuk, M. (1999). Generalized table algebras. Israel J. Math. 114:29–60.
  • Bhattacharyya, G., Song, S.-Y., Tanaka, R. (2010). On Terwilliger algebras of wreath products of one-class association schemes. J. Algebraic Combin. 31:455–466.
  • Blau, H. (2014). Quotient structures and partial wreath products in algebras and association schemes, The 2014 Southeastern Spring Sectional Meeting of AMS, University of Tennessee, Knoxville, Knoxville, TN March 21–23, 2014 (Friday - Sunday).
  • Blau, H. (2009). Table algebras. European J. Combin. 30:1426–1455.
  • Blau, H. (1995). Quotient structures in C-algebras. J. Algebra 177 (1995), 297–337.
  • Blau, H., Xu, B. (2014). Irreducible characters of wreath products in reality-based algebras and applications to association schemes. J. Algebra 412 (2014), 155–172.
  • Bannai, E., Ito, T. (1984). Algebraic Combinatorics I: Association Schemes. Menlo Park, CA: Benjamin/Cummings.
  • Hanaki, A. http://math.shinshu-u.ac.jp/hanaki/as/. Last accessed date 2017.
  • Mlaiki, N. M. (2014). Camina triples. Canad. Math. Bull. 57:125–131.
  • Muzychuk, M., Xu, B. (2017). On quasi-thin and double quasi-thin table algebras and association schemes, preprint.
  • Xu, B. (2017). Table algebras with exactly one irreducible character whose degree and multiplicity are not equal. Commun. Algebra 45:5202–5211.
  • Xu, B. (2011). Characterizations of wreath products of one-class association schemes. J. Combin. Theory Ser. A 118:1907–1914.
  • Xu, B. (2011). On wreath products of C-algebras, table algebras, and association schemes. J. Algebra 344:268–283.
  • Xu, B. (2008). Characters of table algebras and applications to association schemes. J. Combin. Theory Ser. A 115: 1358–1373.
  • Xu, B. (2008). Morphisms and functor kerf in C-algebras. Algebra Colloquium 15:145–166.
  • Xu, B. (2004). The dual morphisms in C-algebras. Commun. Algebra 32:345–361.

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

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.