Miyamoto groups of code algebras

Alonso Castillo-Ramirez, Justin McInroy

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

A code algebra $A_C$ is a nonassociative commutative algebra defined via a binary linear code $C$. In a previous paper, we classified when code algebras are $\mathbb{Z}_2$-graded axial algebras generated by small idempotents. In this paper, for each algebra in our classification, we obtain the Miyamoto group associated to the grading. We also show that the code algebra structure can be recovered from the axial algebra structure.
Original languageEnglish
Article number106619
Number of pages19
JournalJournal of Pure and Applied Algebra
Volume225
Issue number6
Early online date10 Nov 2020
DOIs
Publication statusE-pub ahead of print - 10 Nov 2020

Keywords

  • math.GR
  • 20B25, 17A99, 17D99, 94B05, 17B69

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